# The Linear Equation

An absolutely free quiz involving the linear equation.
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).

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