Linear equation in slope intercept form

Answer:
y = 2x + 24
Step-by-step explanation:
Slope-intercept form equation => y = mx + b
m = slope = change in y / change in x
b = y-intercept
✔️using two pairs of values form the table, (-6, 12) and (-5, 14):
Slope (m) = (14 - 12)/(-5 -(-6))
m = 2/1
m = 2
✔️To find b, substitute (x, y) = (-6, 12) and m = 2 into y = mx + b.
12 = 2(-6) + b
12 = -12 + b
12 + 12 = b
24 = b
b = 24
✔️To write the equation, substitute m = 2 and b = 24 into y = mx + b:
y = 2x + 24