Graphing Linear Equations

Practice Questions

SAT Math › Graphing Linear Equations

Questions
10
1

The equation 3x+2y=6 represents a line. This line does NOT pass through which of the four quadrants?

2

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The graph of a linear equation is shown in the xy-plane above. The slope of the graph of the linear equation , where and are constants, is twice the slope of the graph of the given equation. If the graph of passes through the point , what is the y-intercept of the new line ?

3

Line J has a y-intercept of 6 and passes through point . What is the slope of Line J in terms of and ?

4

In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 2 and a y-intercept of -2. If the two lines intersect at the point , what is the sum ?

5

What is the area of the triangle formed by the lines , , and ?

6

The line , where m is a constant, is graphed in the xy-plane. If the line contains the point , where and , what is the slope of the line in terms of and ?

7

Which of the following points does the line NOT pass through?

8

Line A is represented by the line . Which of the following represents the equation of a line that is perpendicular to Line A and that travels through point ?

9

Which of the following equations represents a line that is perpendicular to ?

10

In the coordinate plane, Line J passes through the origin as well as points and . Which of the following could be the slope of Line J?

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