A set of intermediate algebra problems, related to equations of lines, with answers, are presented. The solutions are at the bottom of the page.
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Find the equation of the line that passes through the point (0 , -6) and has a slope equal to 5.
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Find the equation of the line that passes through the point (-2 , 3) and has a slope equal to -2.
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Is there a line that passes through all the following 3 points: A(2 , 3), B(4 , 7) and C(5 , 6).
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Find the equation of the line through the point (3 , 0) and is
perpendicular to the line through the points (2 , 1) and (4 , 5).
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What are the values of m and w so that the line with equation y - mx = w passes through the points (0 , 4) and (2 , 0)?
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Find the equation of the line through the point (-4 , 5) and is perpendicular to the x axis.
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Find the equation of the line through the point (6 , -1) and is perpendicular to the y axis.
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The graph shown below is that of a linear function f. Use the graph to approximate f(120).
 .
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Is the line with equation 0.5 y + 0.5 x = 5 perpendicular to the line shown in the graph below? Explain your answer.
 .
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If the two lines with equations 2x - 3y = 5 and -4x + 5y = 7 are graphed
in the same system of axes, will they have a point of intersection? If
yes what are its coordinates?
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Find the equations of two lines with a point of intersection at (2 , -3)
and one of the lines passes through the origin of the system of axes.
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Find the equations of a line that passes through the origin and is
tangent to the circle with center at (2 , 4) and radius equal to 1.
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Which of the points A(2 , 0) , B(-2 , -5), C(-4 , -4) , D(0 , 2), E(5 ,
2), F(2 , 3) lie on the graph of the line whose equation is given by
-3y + 2x - 6 = 0
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