Question

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

Answer 1

Answer:

$\large\boxed{y=\dfrac{2}{5}x+\dfrac{24}{5}}$

Step-by-step explanation:

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

$y=mx+b$

m - slope

b - y-intercept

We have the slope $m=\dfrac{2}{5}$ and the point (-2, 4).

Put them in the equation of a line:

$4=\dfrac{2}{5}(-2)+b$

$4=-\dfrac{4}{5}+b$       add 4/5 to both sides

$4\dfrac{4}{5}=b\to b=\dfrac{24}{5}$

Answer 2

Answer:

I think that the answer is C