# The Linear Equation

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An absolutely free quiz involving the linear equation.
Question 1
If the equation of a line is y = 5x - 7, the y-intercept is:

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

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

Question 4
Which point does it lie on the line: $$y = \frac{1}{3}x - \frac{4}{3}$$

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

Question 6
Convert the linear equation 3y - x = -6 into slope-intercept form.

Question 7
Find the value of "x" if the points lie on a straight line:
A(1, 4); B(x, 2); C(-3, 0)

Question 8
Find the equation of the straight line with slope m = 4 that passes through (-1, -6).

Question 9
Find the equation of a line that passes through (2, 1) and is parallel to the line $$x + 2y = 2$$

Question 10
Find the equation of a line that passes through (2, 1) and is perpendicular to the line $$x + 2y = 2$$

Question 11
Find the equation of the line that passes through points (-2, 1) and (1, 2).

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