Question

Find the slope of every line that is parallel to

the line on the graph
Enter the correct answer.

Answer 1

slope of every parallel line is - 4

Explanation:

calculate the slope m of the given line using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (1, - 5) ← 2 points on the line

m =
`(-5-7)/(1-(-2))` =
`(-12)/(1+2)` =
`(-12)/(3)` = - 4

• Parallel lines have equal slopes

Thus the slope of any line parallel to the given line is m = - 4