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).

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