The line intersects the y-axis at -5, so that’s our y-intercept.
The slope can be found by using the slope formula:
m = (y2 - y1) / (x2 - x1)
Our give coordinates are (-6, -3) and (6, -7)
Plug the x and y values into the formula:
m = (-7 + 3) / (6 + 6)
m = 4/12
m = 1/3
Use the equation for slope-intercept form:
y - y1 = m(x - x1)
Plug in the values for each variable:
y + 6 = (1/3)(x + 3)
y + 6 = (1/3)x + 1
y = (1/3)x - 5
The answer is y = (1/3)x - 5
