The Linear Equation, Free Math Test

Problem #1

If the equation of a line is y = 5x - 7 , the y-intercept is:

Problem #2

Find the slope of the following linear equation:
$y = \frac{1}{2}x + 3$

Problem #3

What is the value of b if a point (-2,3) satisfies the equation $y = \frac{3}{2}x + b$

Problem #4

Which one of the following points lies on this line: $y = \frac{1}{3}x - \frac{4}{3}$

Problem #5

Convert this slope-intercept equation into a linear equation:
$y = -\frac{3}{5}x + 1$

Problem #6

Convert this linear equation into slope-intercept form: 3y - x = -6

Problem #7

Find the value of missing "x" if the following points lie on the same straight line:
A(1, 4) ; B(x, 2) ; C(-3, 0)

Problem #8

Find the equation of the straight line that has slope m = 4 and passes through the point (?1, ?6).

Problem #9

Find the slope-intercept equation for the straight line which perpendicularly meets on y-axis: 2x - 3y = 9

Problem #10

Find the equation of a line which passes through a point (2, 1) and parallel to a line:
x + 2y = 2

Problem #11

Find the equation of a line which passes through a point (2, 1) and perpendicular to a line: x + 2y = 2

Problem #12

Find the equation of the line that passes through the points (-2, 1) and (1, 2).