GED Math : Geometry and Graphs
Study concepts, example questions & explanations for GED Math
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Example Questions
Example Question #13 : Parallel And Perpendicular Lines
Given the following equation, what is the slope of the perpendicular line?
Subtract 
The slope of this line is negative three.
The slope of the perpendicular line is the negative reciprocal of this slope.
The answer is:
Example Question #61 : Coordinate Geometry
Which line is parallel to the following:
Two lines are parallel if they have the same slope. Now, we know the slope-intercept form is written as follows:
where m is the slope and b is the y-intercept. Now, given the equation
we can see the slope is -3. So, to find a line parallel to this line, we will have to find an equation that also have a slope of -3.
If we look at the equation
we can see it has a slope of -3. Therefore, this equation is parallel to the original equation.
Example Question #71 : Coordinate Geometry
Find a line that is perpendicular to the following:
Two lines are perpendicular if their slopes have opposite signs (positive/negative) and they are reciprocals of each other.
To find a reciprocal of a number, we will write it in fraction form. Then, the numerator becomes the denominator and the denominator becomes the numerator. In other words, we flip the fraction.
We will look at the lines in slope-intercept form
where m is the slope and b is the y-intercept.
So, given the equation
we can see the slope is 
So, in the equation
we can see the slope is 
Example Question #71 : Coordinate Geometry
Find a line that is parallel to the following line:
Two lines are parallel if they have the same slope. So, we will look at the lines in slope-intercept form:
where m is the slope and b is the y-intercept.
So, given the line
we can see the slope is -2. So, to find a line that is parallel, it must also have a slope of -2. So, the line
we can see it also has a slope of -2. Therefore, it is parallel to the original line.
Example Question #72 : Coordinate Geometry
If a line has a slope of 
The perpendicular line slope will be the negative reciprocal of the original slope.
Substitute the given slope into the equation.
The answer is:
Example Question #781 : Geometry And Graphs
If the slope of a line is 
The slope of the perpendicular line is the negative reciprocal of the original slope.
Substitute the slope into the equation.
The answer is:
Example Question #21 : Parallel And Perpendicular Lines
Given the equation 
When lines are parallel, their slopes are equal.
Rewrite the given equation in standard form to slope-intercept form:
Subtract 
Divide by negative seven on both sides.
The equation becomes:
The answer is:
Example Question #22 : Parallel And Perpendicular Lines
What is the slope of the line that is perpendicular to the line 
Start by putting the given equation of a line in slope-intercept form.
The slope of the given line is 
Next, recall that the slope of perpendicular lines are negative reciprocals. To get the negative reciprocal, change the sign of the given slope and flip the numerator and denominator.
The negative reciprocal of 
Example Question #781 : Geometry And Graphs
If a line is 
The equation of the line is the slope is in slope-intercept form:
The slope is three.
The perpendicular line is the negative reciprocal of the original slope.
Substitute the slope into the equation.
The answer is:
Example Question #21 : Parallel And Perpendicular Lines
Which of the following lines is parallel to the line 
Start by placing the given equation in slope-intercept form.
Recall that parallel lines must have the same slope. Thus, 
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