Answer:
[tex] y = \frac{1}{6}x - 5 [/tex]
Step-by-step explanation:
The equation that represents the road can be written as [tex] y = mx + b [/tex]
Find, m = slope, and b = y-intercept of the line.
Using two points on the line, (-6, -6) and (6, -4), find the slope:
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-6)}{6 -(-6)} = \frac{2}{12} = \frac{1}{6} [/tex]
Substitute x = -6, y = -6, and m = ⅙ into [tex] y = mx + b [/tex] to find b.
[tex] -6 = \frac{1}{6}(-6) + b [/tex]
[tex] -6 = -1 + b [/tex]
Add 1 to both sides
[tex] -6 + 1 = b [/tex]
[tex] -5 = b [/tex]
Substitute m = ⅙, and b = -5 into [tex] y = mx + b [/tex].
✅The equation that represents the road would be:
[tex] y = \frac{1}{6}x + (-5) [/tex]
[tex] y = \frac{1}{6}x - 5 [/tex]
