Question

Line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis ?

Answer 1

Answer:(0,12)

Explanation:

Answer 2

(0,12)

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.

`m = (y_2-y_1)/(x_2-x_1) = (3--3)/(-3--5)= (6)/(2)=3`

Substitute m = 3 and the point (-3,3) into the point slope form.

`y - y_1 = m(x-x_1)\\y -3 = 3(x--3)\\y-3 = 3(x +3)\\y-3=3x + 9\\ y = 3x + 12`

This means that it crosses at (0,12) since b - 12 for y=mx+b.