How to graph a function - SSAT Upper Level Quantitative
Card 0 of 8

Refer to the above diagram. If the red line passes through the point 
, what is the value of 
?

Refer to the above diagram. If the red line passes through the point , what is the value of 
?
One way to answer this is to first find the equation of the line.
The slope of a line. given two points 
 can be calculated using the slope formula

Set 
:

The line has slope 3 and 
-intercept 
, so we can substitute 
 in the slope-intercept form:


Now substitute 4 for 
 and 
 for 
 and solve for 
:



One way to answer this is to first find the equation of the line.
The slope of a line. given two points  can be calculated using the slope formula
Set :
The line has slope 3 and -intercept 
, so we can substitute 
 in the slope-intercept form:
Now substitute 4 for  and 
 for 
 and solve for 
:
Compare your answer with the correct one above

Refer to the above red line. A line is drawn perpendicular to that line, and with the same 
-intercept. Give the equation of that line in slope-intercept form.

Refer to the above red line. A line is drawn perpendicular to that line, and with the same -intercept. Give the equation of that line in slope-intercept form.
First, we need to find the slope of the above line.
The slope of a line. given two points 
 can be calculated using the slope formula

Set 
:

The slope of a line perpendicular to it has as its slope the opposite of the reciprocal of 2, which would be 
. Since we want this line to have the same 
-intercept as the first line, which is the point 
, we can substitute 
 and 
 in the slope-intercept form:


First, we need to find the slope of the above line.
The slope of a line. given two points  can be calculated using the slope formula
Set :
The slope of a line perpendicular to it has as its slope the opposite of the reciprocal of 2, which would be . Since we want this line to have the same 
-intercept as the first line, which is the point 
, we can substitute 
 and 
 in the slope-intercept form:
Compare your answer with the correct one above

Refer to the above diagram. If the red line passes through the point 
, what is the value of 
?

Refer to the above diagram. If the red line passes through the point , what is the value of 
?
One way to answer this is to first find the equation of the line.
The slope of a line. given two points 
 can be calculated using the slope formula

Set 
:

The line has slope 3 and 
-intercept 
, so we can substitute 
 in the slope-intercept form:


Now substitute 4 for 
 and 
 for 
 and solve for 
:



One way to answer this is to first find the equation of the line.
The slope of a line. given two points  can be calculated using the slope formula
Set :
The line has slope 3 and -intercept 
, so we can substitute 
 in the slope-intercept form:
Now substitute 4 for  and 
 for 
 and solve for 
:
Compare your answer with the correct one above

Refer to the above red line. A line is drawn perpendicular to that line, and with the same 
-intercept. Give the equation of that line in slope-intercept form.

Refer to the above red line. A line is drawn perpendicular to that line, and with the same -intercept. Give the equation of that line in slope-intercept form.
First, we need to find the slope of the above line.
The slope of a line. given two points 
 can be calculated using the slope formula

Set 
:

The slope of a line perpendicular to it has as its slope the opposite of the reciprocal of 2, which would be 
. Since we want this line to have the same 
-intercept as the first line, which is the point 
, we can substitute 
 and 
 in the slope-intercept form:


First, we need to find the slope of the above line.
The slope of a line. given two points  can be calculated using the slope formula
Set :
The slope of a line perpendicular to it has as its slope the opposite of the reciprocal of 2, which would be . Since we want this line to have the same 
-intercept as the first line, which is the point 
, we can substitute 
 and 
 in the slope-intercept form:
Compare your answer with the correct one above

Refer to the above diagram. If the red line passes through the point 
, what is the value of 
?

Refer to the above diagram. If the red line passes through the point , what is the value of 
?
One way to answer this is to first find the equation of the line.
The slope of a line. given two points 
 can be calculated using the slope formula

Set 
:

The line has slope 3 and 
-intercept 
, so we can substitute 
 in the slope-intercept form:


Now substitute 4 for 
 and 
 for 
 and solve for 
:



One way to answer this is to first find the equation of the line.
The slope of a line. given two points  can be calculated using the slope formula
Set :
The line has slope 3 and -intercept 
, so we can substitute 
 in the slope-intercept form:
Now substitute 4 for  and 
 for 
 and solve for 
:
Compare your answer with the correct one above

Refer to the above red line. A line is drawn perpendicular to that line, and with the same 
-intercept. Give the equation of that line in slope-intercept form.

Refer to the above red line. A line is drawn perpendicular to that line, and with the same -intercept. Give the equation of that line in slope-intercept form.
First, we need to find the slope of the above line.
The slope of a line. given two points 
 can be calculated using the slope formula

Set 
:

The slope of a line perpendicular to it has as its slope the opposite of the reciprocal of 2, which would be 
. Since we want this line to have the same 
-intercept as the first line, which is the point 
, we can substitute 
 and 
 in the slope-intercept form:


First, we need to find the slope of the above line.
The slope of a line. given two points  can be calculated using the slope formula
Set :
The slope of a line perpendicular to it has as its slope the opposite of the reciprocal of 2, which would be . Since we want this line to have the same 
-intercept as the first line, which is the point 
, we can substitute 
 and 
 in the slope-intercept form:
Compare your answer with the correct one above

Refer to the above diagram. If the red line passes through the point 
, what is the value of 
?

Refer to the above diagram. If the red line passes through the point , what is the value of 
?
One way to answer this is to first find the equation of the line.
The slope of a line. given two points 
 can be calculated using the slope formula

Set 
:

The line has slope 3 and 
-intercept 
, so we can substitute 
 in the slope-intercept form:


Now substitute 4 for 
 and 
 for 
 and solve for 
:



One way to answer this is to first find the equation of the line.
The slope of a line. given two points  can be calculated using the slope formula
Set :
The line has slope 3 and -intercept 
, so we can substitute 
 in the slope-intercept form:
Now substitute 4 for  and 
 for 
 and solve for 
:
Compare your answer with the correct one above

Refer to the above red line. A line is drawn perpendicular to that line, and with the same 
-intercept. Give the equation of that line in slope-intercept form.

Refer to the above red line. A line is drawn perpendicular to that line, and with the same -intercept. Give the equation of that line in slope-intercept form.
First, we need to find the slope of the above line.
The slope of a line. given two points 
 can be calculated using the slope formula

Set 
:

The slope of a line perpendicular to it has as its slope the opposite of the reciprocal of 2, which would be 
. Since we want this line to have the same 
-intercept as the first line, which is the point 
, we can substitute 
 and 
 in the slope-intercept form:


First, we need to find the slope of the above line.
The slope of a line. given two points  can be calculated using the slope formula
Set :
The slope of a line perpendicular to it has as its slope the opposite of the reciprocal of 2, which would be . Since we want this line to have the same 
-intercept as the first line, which is the point 
, we can substitute 
 and 
 in the slope-intercept form:
Compare your answer with the correct one above