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Answer:
y = 1/4x -3/2
Step-by-step explanation:
The "run" (horizontal distance) between the two marked points is 6-(-2)=8.
The "rise" (vertical distance) between the two marked points is 1 -(-1) = 2.
The slope of the line shown is ...
m = rise/run = 2/8 = 1/4
A parallel line will have the same slope.
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The y-intercept of the desired line can be found from ...
b = y -mx
For point (2, -1) and slope 1/4, the y-intercept will be ...
b = -1 -1/4(2) = -3/2
Then the equation of the parallel line is ...
y = mx +b . . . . . . . line with slope m and y-intercept b
y = 1/4x -3/2
