Can someone please help me find the equation of the parallel line I will mark u the brainiest

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

8 0

9514 1404 393

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.

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

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