Final answer:
The equation of the line in slope-intercept form is y = 3x + 9. To find the equation, you can find the slope of the line using the slope formula and then plug it into the point-slope form equation.
Step-by-step explanation:
The equation of the line in slope-intercept form is y = 3x + 9.
To find the equation, we can start by finding the slope of the line. We use the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates (-12,9) and (13,-11), we get:
m = (-11 - 9) / (13 - (-12)) = -20 / 25 = -4/5
Now that we have the slope, we can substitute it and the y-coordinate of one of the points into the point-slope form equation:
y - y1 = m(x - x1)
Using the point (-12,9), we get:
y - 9 = (-4/5)(x - (-12))
Simplifying and rearranging the equation gives us the final slope-intercept form equation y = 3x + 9.