Transform y−8=5(2x+7) into slope-intercept form

To transform the equation y - 8 = 5(2x + 7) into slope-intercept form, we need to isolate the variable y.

First, distribute the 5 to both terms inside the parentheses:
y - 8 = 10x + 35

Next, add 8 to both sides of the equation to get y by itself on the left-hand side:
y - 8 + 8 = 10x + 35 + 8
y = 10x + 43

Therefore, the equation y - 8 = 5(2x + 7) in slope-intercept form is y = 10x + 43.