CPM Homework Help : CAAC Problem 7-105

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).

Hint (a):

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.

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

Hint (a):

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

Answer (a):

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

Hint (b):

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.

Hint (b):

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

Hint (b):

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