Question

write the equation of each line given the y- intercept and x- intercept . y intercept ( 0, -2) and x intercept is (-3, 0)

Answer 1

the equation of each line using the given y- intercept and x- intercept

is $y= -\frac{2}{3} x-2$

Given :

given the y- intercept and x- intercept . y intercept ( 0, -2) and x intercept is (-3, 0)

We need to frame the equation of the line y=mx+b

where m is the slope and b is the y intercept

y intercept is (0,-2) so the value of b=-2

Now we find slope using two points (0,-2) and (-3,0)

Apply slope formula

$slope m =\frac{y_2-y_1}{x_2-x_1} =\frac{0+2}{-3+0} =-\frac{2}{3}$

We got the slope m and y intercept b =-2

Replace it in y=mx+b to get the equation of the line

$y=mx+b\\y=-\frac{2}{3} x-2$

Learn more : brainly.com/question/11240861