Answer:
y = x + 15
Step-by-step explanation:
Find the slope(m) of the line that passes through (2, 17) and (6, 21):
[tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 17}{6 - 2} = \frac{4}{4} = 1 [/tex]
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
