Question

What is the y-intercept for the linear function y-4=2(x-6)​

Answer 1

Answer:

-8

Step-by-step explanation:

Method 1:

The slope-intercept of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the equation of a line in the point-slope form:

$y-4=2(x-6)$

Convert it the the slope-intercept formula:

$y-4=2(x-6)$            use the distributive property

$y-4=2x-12$             add 4 to both sides

$y=2x-8\to b=-8$

Method 2:

The y-intercept is for x = 0. Put x = 0 to the equation:

$y-4=2(0-6)$

$y-4=2(-6)$

$y-4=-12$           add 4 to both sides

$y=-8$