All GMAT Math Resources
Example Questions
Example Question #41 :Lines
A given line is defined by the equation. What is the slope of any line parallel to this line?
Any line that is parallel to a linehas a slope that is equal to the slope. Given,and therefore any line parallel to the given line must have a slope of.
Example Question #1 :Calculating The Slope Of Parallel Lines
A given line is defined by the equation. What is the slope of any line parallel to this line?
Any line that is parallel to a linehas a slope that is equal to the slope. Given,and therefore any line parallel to the given line must have a slope of.
Example Question #43 :Lines
What is the equation of the line that is parallel toand goes through point?
Parallel lines have the same slope. Therefore, the slope of the new line is, as the equation of the original line is,with slope.
and:
Example Question #1 :Calculating The Equation Of A Parallel Line
Find the equation of a line that is parallel toand passes through the point.
None of the answers are correct.
The parallel line has the equation. We can find the slope by putting the equation into slope-intercept form,y=mx+b, wheremis the slope andbis the intercept.becomes, so the slope is 2.
We know that our line must have an equation that looks like. Now we need the intercept. We can solve for b by plugging in the point (4, 1).
1 = 2(4) +b
b= –7
Then the line in question is.
Example Question #45 :Lines
Given:
Which of the following is the equation of a line parallel tothat has a y-intercept of?
Parallel lines have the same slope, so our slope will still be 4. The y-intercept is just the "+b" at the end. In f(x) the y-intercept is 13. In this case, we need to have a y-intercept of -13, so our equation just becomes:
Example Question #46 :Lines
Find the equation of the line that is parallel to theand passes through the point.
Two lines are parallel if they have the same slope. The slope of g(x) is 6, so eliminate anything without a slope of 6.
Recall slope intercept form which is.
We know that the line must have an m of 6 and an (x,y) of (8,9). Plug everything in and go from there.
So we get:
# 47例问题:Lines
Given the function, which of the following is the equation of a line parallel toand has a-intercept of?
Given a linedefined by the equationwith slope, any line that is parallel toalso has a slope of. Since, the slopeisand the slope of any lineparallel toalso has a slope of.
Sincealso needs to have a-intercept of, then the equation formust be.
Example Question #48 :Lines
Given the function, which of the following is the equation of a line parallel toand has a-intercept of?
Given a linedefined by the equationwith slope, any line that is parallel toalso has a slope of. Since, the slopeisand the slope of any lineparallel toalso has a slope of.
Sincealso needs to have a-intercept of, then the equation formust be.
Example Question #41 :Lines
Given the function, which of the following is the equation of a line parallel toand has a-intercept of?
Given a linedefined by the equationwith slope, any line that is parallel toalso has a slope of. Since, the slopeisand the slope of any lineparallel toalso has a slope of.
Sincealso needs to have a-intercept of, then the equation formust be.