Um homework so help me

y = x + 15

Step-by-step explanation:

Find the slope(m) of the line that passes through (2, 17) and (6, 21):

m = 1

Find the y-intercept (b) by substituting x = 2, y = 17, and m = 1 into y = mx + b

Thus:

17 = 1(2) + b

17 = 2 + b

17 - 2 = b

15 = b

b = 15

To write the linear function rule, substitute m = 1 and b = 15 into y = mx + b.

Thus:

y = 1(x) + 15

y = x + 15

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )