How to find out if a point is on a line with an equation

Practice Questions

SAT Math › How to find out if a point is on a line with an equation

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1

Consider the lines described by the following two equations:

4y = 3x2

3y = 4x2

Find the vertical distance between the two lines at the points where x = 6.

2

Axes

Figure NOT drawn to scale.

On the coordinate axes shown above, the shaded triangle has the following area:

Evaluate .

3

Which of the following lines contains the point (8, 9)?

4

\dpi{100} \small 5x+25y = 125

Which point lies on this line?

5

The equation of a line is: 2x + 9y = 71

Which of these points is on that line?

6

Trans

Lines P and Q are parallel. Find the value of .

7

In the xy -plane, line l is given by the equation 2_x_ - 3_y_ = 5. If line l passes through the point (a ,1), what is the value of a ?

8

At what point do these two lines intersect?

9

Which of the following points can be found on the line \small y=3x+2?

10

Solve the following system of equations:

–2x + 3y = 10

2x + 5y = 6

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