Question

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

Answer 1

Answer:

$y=\frac{2x}{5}+\frac{24}{5}$

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)

$y-y_{0} =m (x-x_{0})$

Let

$m=\frac{2}{5} \\\\P1(-2,4)\\x_{0}=-2\\y_{0} =4$

replacing

$y-4=\frac{2}{5}(x-(-2))\\ \\y-4=\frac{2x}{5}+\frac{4}{5}\\y=\frac{2x}{5}+\frac{4}{5}+4\\y=\frac{2x}{5}+\frac{24}{5}$

Have a great day

Answer 2

Should be y=2/5x+4.8

It’s been a minute since I’ve taken a math class. I’m sorry if I’m wrong but I’m 90% sure I’m right!