Answer:
Option A: y = 6x + 11
Step-by-step explanation:
Given the linear equation in point-slope form, y - 5 = 6(x + 1), and that we must determine its equivalent slope-intercept form, y = mx + b:
First, we must distribute 6 into the parenthesis on the right-hand side of the equation:
y - 5 = 6(x + 1)
y - 5 = 6x + 6
Lastly, we must add 5 to both sides of the equation to isolate y:
y - 5 + 5 = 6x + 6 + 5
y = 6x + 11
Therefore, the slope-intercept form is: y = 6x + 11, which matches Option A.
