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

Question

asked Oct 9, 2020 163k views

1 Answer

Amenthes · Answer 1 · 2020-10-13T13:15:38+0000

Answer:

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