Question

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

Answer 1

Answer:

y=3/2x-2

Step-by-step explanation:

Find the slope first:

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

Then solve for y-intercept:

$y=\frac{3}{2}x+b\\-2=\frac{3}{2}(0)+b\\-2=b$

Now, write out your complete equation:

y=3/2x-2