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Home > AC > Chapter 7 > Lesson 7.3.4 > Problem 7-114

  1. Find the equation of each line below. Homework Help ✎

    1. The line with slope m = -2/3 that goes through the point (−6, 5).

    2. A horizontal line that goes through the point (8, −11).

    3. The line perpendicular to the line in part (a) above but going through the origin.

Using y = mx + b, substitute the values of m, y, and x and solve for b.

Solve for b and rewrite the equation substituting m and b back into their original positions.

A horizontal line has zero slope. Therefore, simply substitute the values for x and y into the equation and solve for b.
Then, rewrite the equation with m and b substituted back into their original equations.

y = −11

See parts (a) and (b) to solve. Remember that perpendicular lines have opposite reciprocal slopes.