Answer:
(0,12)
Step-by-step explanation:
To write the equation of a line, calculate the slope between points (-3,3) and (-5,-3). After, substitute the slope and a point into the point slope form. Then convert to the slope intercept form to identify the y-intercept.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{3--3}{-3--5}= \frac{6}{2}=3[/tex]
Substitute m = 3 and the point (-3,3) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y -3 = 3(x--3)\\y-3 = 3(x +3)\\y-3=3x + 9\\ y = 3x + 12[/tex]
This means that it crosses at (0,12) since b - 12 for y=mx+b.
