Find y if the point (-6,y) is on the line that passes through (-1,7) and (3,-12) .
Step 1: find the equation of the line that passes through the points (-1,7) and (3,-12):
1) Find the slope of the line:
slope = (y2 - y1) / (x2 - x1) = (-12 - 7) / (3 - -1) = -19 / 4
2) Use the point-slope form to find the equation:
y - y1 = m(x - x) ---> y - 7 = -19/4(x - -1)
y - 7 = -19/4(x + 1)
y = -19/4x -19/4 + 7
y = -19/4x + 9/4
Step 2: Replace the x-value in that equation with -6 and solve:
y = -19/4(-6) + 9/4
y = 30.75