Which equation represents a line that passes through (-2,4) and has a slope of 2/5?

Question

asked Jan 21, 2020 162k views

2 Answers

Shoshanna · Answer 1 · 2020-01-27T09:41:05+0000

Answer:

$\large\boxed{y=(2)/(5)x+(24)/(5)}$

Explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have the slope
m=(2)/(5) and the point (-2, 4).

Put them in the equation of a line:

4=(2)/(5)(-2)+b

4=-(4)/(5)+b add 4/5 to both sides

$4(4)/(5)=b\to b=(24)/(5)$