Answer:
y = 7x - 33
Step-by-step explanation:
Using a given point and slope, we need to use point-slope form.
[tex]y - y_1 = m (x - x_1)[/tex]
m= 7 (slope)
[tex]x_1[/tex] = 3 (x value from given point)
[tex]y_1[/tex] = -12 (y value from given point)
[tex]y - y_1 = m (x - x_1)[/tex]
[tex]y - ( -12) = 7(x -3)[/tex] Now we Substitute values in
[tex]y + 12 = 7(x -3)[/tex] Double negative with - (-12) makes 12 positive
[tex]y + 12 = 7x -21[/tex] Use distributive property for 7(x -3)
[tex]y = 7x -33[/tex] Subtract 12 from both sides
