Question

Um homework so help me

Answer 1

y = x + 15

Explanation:

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

`(y_2 - y_1)/(x_2 - x_1) = (21 - 17)/(6 - 2) = (4)/(4) = 1`

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