SOLUTION: Explain how to write the equation y – 2 = 5(x + 7) in slope-intercept form.

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Question 500339: Explain how to write the equation y – 2 = 5(x + 7) in slope-intercept form.

Found 2 solutions by nerdybill, MathLover1:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
slope-intercept form is:
y = mx + b
where
m is the slope
b is the y-intercept at (0,b)
.
y – 2 = 5(x + 7)
distribute 5 to each term inside parentheses:
y – 2 = 5x + 35
add 2 to both sides:
y – 2 + 2 = 5x + 35 + 2
y = 5x + 37 (this is what they're looking for)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The first of the forms for a linear equation is slope-intercept form. Equations in slope-intercept form look like this:
y=mx%2B-b
where m is the slope of the line and bis the y-intercept of the line, or the y-coordinate of the point at which the line+crossesthe y-axis.
so, you have:
y+%96+2+=+5%28x+%2B+7%29
y=+5%28x+%2B+7%29%2B2
y=+5x+%2B+35%2B2
highlight%28y=+5x+%2B+37%29......... slope-intercept form
m=5
b=37

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+45%2C+5x+%2B+37%29+