What is the y-intercept of the line described by #(y - 3) = 5(x + 2)#?

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Answer 1 · 2018-05-13T19:50:53

(0, 13)

Point-slope Formula
#y - y_1# = #m(x - x_1)#

Plug in your data.

#(y - 3)# = #5(x + 2)#

Distribute.

#(y - 3)# = #(5x + 10)

Add 3 to both sides to negate -3. You should now have:

#y = 5x + 13#
#y = mx + b#

Your y-intercept is (0, 13).