Question

so I have a few other questions along with this one...is that ok?

Answer 1

Solution

For this case we have two points given :

(-4,0) and (0,-2)

x1= - 4

y1 = 0

x2= 0

y2= -2

Then we can find the slope on this way:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-2-0}{0+4}=\frac{-2}{4}=-\frac{1}{2}$

the general equation is given by:

$y=mx+b$

And then the can find the intercept on this way using the point x= -4 and y=0, replacing in the equation we got:

$0=-\frac{1}{2}\cdot(-4)+b$

b = -2

And the equation would be given by:

$y=-\frac{1}{2}x-2$