Intermediate Algebra Problems With Answers -
Sample 6 - Equations of Lines

A set of intermediate algebra problems, related to equations of lines, with answers, are presented. The solutions are at the bottom of the page.

  1. Find the equation of the line that passes through the point (0 , -6) and has a slope equal to 5.


  2. Find the equation of the line that passes through the point (-2 , 3) and has a slope equal to -2.


  3. Is there a line that passes through all the following 3 points: A(2 , 3), B(4 , 7) and C(5 , 6).


  4. 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).


  5. 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)?


  6. Find the equation of the line through the point (-4 , 5) and is perpendicular to the x axis.


  7. Find the equation of the line through the point (6 , -1) and is perpendicular to the y axis.


  8. The graph shown below is that of a linear function f. Use the graph to approximate f(120).

    intermediate algebra problem 5 .



  9. Is the line with equation 0.5 y + 0.5 x = 5 perpendicular to the line shown in the graph below? Explain your answer.

    intermediate algebra problem 6 .



  10. 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?


  11. 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.


  12. 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.


  13. 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