All GRE Subject Test: Math Resources
Example Questions
Example Question #1 : Finding Equations Of Lines
What is the equation of the line (in slope-intercept form) that goes through the points: and ?
Step 1: Find the slope between the two points:
Step 2: Write the slope-intercept form:
Step 3. Find b. Plug in (x,y) from one of the points:
Step 4: Write out the full equation:
Example Question #1 : Finding Equations Of Lines
What is the equation of a line that passes through points and in slope-intercept form?
To find the equation of the line, first find the slope using the formula:
The points that the line passes through are and .
Then pick one set of points and place in the form . Either set of points will give you the same equation. Points were used.
Subtract from both sides of the equation.
The equation of the line in slope-intercept form or is
Example Question #1 : Finding Equations Of Lines
Find the equation of a line in slope-intercept form that passes though points and .
To find the equation of a line that passes through and , first find the slope using this formula:
Using one set of points or coordinates and the value of slope, plug these values into:
Either set of points will give you the same equation of the line.
Coordinates .
Distribute the to what is inside the parenthesis.
Add to both sides of the equation.
The equation of the line in slope-intercept form is:
Example Question #1 : Finding Equations Of Lines
A line has a slope of and goes through point What is the equation of the line in slope-intercept form?
The slope-intercept form is , where represents the slope, and represent the points, and is the y-intercept or the value of when
The slope or has been given as .
The points that this equation of the line passes through are and
because based on the points, when That is the y-intercept.
The equation of the line in slope-intercept form is:
Example Question #2 : Finding Equations Of Lines
Find the equation of a line in slope-intercept form that passes through points and has a slope of
To find the equation of a line given points and use the point- slope formula:
Distribute the to what is inside the parenthesis.
Subtract from both sides of the equation.
When the sign is the same for both integers, add.
The equation of the line in slope-intercept form is:
Example Question #1 : Finding Equations Of Lines
Find the equation of the line with points
To solve for you must use the equation
To solve for be we must plug in one of the points
simplify
Add to both sides
Example Question #2 : Finding Equations Of Lines
Find a line through the point perpendicular to the line .
To solve this problem you must first find the slope of the original equation by point it into y-mx+b form
subtract x from both sides
Then you must find the reciprocal of the slope to get the slope of the perpendicular line
reciprocal is
Finally you must you point-slope form to solve
Multiply through the parentheses
add three to both sides
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