### Home > AC > Chapter 7 > Lesson 7.3.3 > Problem7-105

7-105.
1. Find the equations of the lines described below. Homework Help ✎

1. The line parallel to the line y = − 6 that goes through the point (−5, 3).

2. The line that goes through the points (100, 76) and (106, 58).

Because the lines are parallel, they have the same slope.
Therefore, substitute the given (x, y) coordinate into the equation for a line with the same slope as the equation above.

$y=\frac{1}{5}x-6 \rightarrow 3=\frac{1}{5}(-5)+b$

Now solve for b and rewrite the equation with x and y substituted back into their original positions.

$y=\frac{1}{5}x+4$

Make a slope triangle and find the differences in x values and y values to find the length of the legs of the triangle.
Use the values to find the slope.

Substitute one of the coordinates into the equation of a line, where m = −3, to solve for b.

Rewrite the equation with x and y substituted back into their original positions.