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Example Questions
Example Question #1 : How To Identify A Point In Pre Algebra
What is the slope of the line .
In the standard form of a line  the slope is represented by the variable
.
In this case the line  has a slope of
.
The answer is .
Example Question #2 : How To Identify A Point In Pre Algebra
If the equation of a line is , what is the y-intercept?
In the slope-intercept form of a line, , the y-intercept when the line intersects the y-axis.
It does this at .
So we plug  in forÂ
 in our equationÂ
 to give usÂ
.
Anything multiplied by  isÂ
 soÂ
.
Our coordinates for the y-intercept are .
Example Question #1 : How To Identify A Point In Pre Algebra
What is the y-intercept of the line ?
In the standard form of a line  the y-intercept occurs when the line intersects the y-axis.
It does this atÂ
So we plug  in forÂ
 in our equationÂ
 to give usÂ
.
Anything multiplied by  isÂ
 soÂ
.
Our coordinates for the y-intercept are .
Example Question #3 : How To Identify A Point In Pre Algebra
What is the slope of a line that is parallel to ?
Parallel lines have the same slope.
If an equation is in point-slope form, , we take theÂ
 from our equation and set it equal to the slope of our parallel line.
In this caseÂ
The slope of our parallel line is .
Example Question #1 : How To Identify A Point In Pre Algebra
The point resides in quadrant I (the upper right quadrant), so both values must both be positive. The only possible solution is .
Example Question #5 : How To Identify A Point In Pre Algebra
What is the slope of a line that is perpendicular to ?
The slope of a perpendicular lines has the negative reciprocal of the slope of the original line.
If an equation is in point-slope form, , we use theÂ
 from our equation as our original slope.
In this caseÂ
First flip the sign to get .Â
To find the reciprocal you take the integer and make it a fraction by placing a  over it. If it is already a fraction just flip the numerator and denominator.
Do this to make the slopeÂ
The slope of the perpendicular line is .
Example Question #2 : How To Identify A Point In Pre Algebra
What is the slope of the line with the equation ?
In the standard form equation of a line, , the slope is represented by the variableÂ
.
In this case the line  has a slope ofÂ
.
Therefore the answer is .
Example Question #7 : How To Identify A Point In Pre Algebra
What is the slope of the line ?
In the slope-intercept form of a line, , the slope is represented by the variable
.
In this case the line
Â
has a slope of .
The answer is .
Example Question #8 : How To Identify A Point In Pre Algebra
What is the y-intercept of the line ?
In the slope-intercept form of a line, , the y-intercept is when the line intersects the y-axis.
It does this at .
So we plug  in for
 in our equation
Â
to give us
Anything multiplied by  is
 so
Our coordinates for the y-intercept are .
Example Question #3 : How To Identify A Point In Pre Algebra
What is the slope of a line that is parallel to ?
Parallel lines have the same slope.
If an equation is in slope-intercept form, , we take the
 from our equation and set it equal to the slope of our parallel line.
In this case .
The slope of our parallel line is .
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