Answer:
[tex]y=\frac{2x}{5}+\frac{24}{5}[/tex]
Step-by-step explanation:
Hello
to solve this , we can use the point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept)
[tex]y-y_{0} =m (x-x_{0})\\ \\[/tex]
Let
[tex]m=\frac{2}{5} \\\\P1(-2,4)\\x_{0}=-2\\y_{0} =4\\ \\[/tex]
replacing
[tex]y-4=\frac{2}{5}(x-(-2))\\ \\y-4=\frac{2x}{5}+\frac{4}{5}\\y=\frac{2x}{5}+\frac{4}{5}+4\\y=\frac{2x}{5}+\frac{24}{5}[/tex]
Have a great day
