Question

1) write the equation of the

line in slope intercept form
that passes through (0,-2)
and (2,1).

Answer 1

y=3/2x-2

Explanation:

Find the slope first:

`m=\frac{y_{2-y_(1) } }{x_(2)-x_(1) } =(1-(-2))/(2-0)=(3)/(2)`

Then solve for y-intercept:

`y=(3)/(2)x+b\\-2=(3)/(2)(0)+b\\-2=b`

Now, write out your complete equation:

y=3/2x-2