Answer:
[tex]\large\boxed{y=\dfrac{2}{5}x+\dfrac{24}{5}}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope [tex]m=\dfrac{2}{5}[/tex] and the point (-2, 4).
Put them in the equation of a line:
[tex]4=\dfrac{2}{5}(-2)+b[/tex]
[tex]4=-\dfrac{4}{5}+b[/tex] add 4/5 to both sides
[tex]4\dfrac{4}{5}=b\to b=\dfrac{24}{5}[/tex]
