In order to determine the equation of the line for each case, use the following general formula:
y - yo = m(x - xo)
where m is the slope and (xo,yo) is a point on the line.
5. (-4,6), m = 8
Replace the previous values into the general formula, and solve for y, just as follow:
y - 6 = (8)(x - (-4))
y - 6 = 8(x + 4)
y - 6 = 8x + 32
y = 8x + 32 + 6
y = 8x + 38 This is the equation of the line.
8. (3,3), m = 4/3
y - 3 = (4/3)(x - 3)
y - 3 = 4/3 x - 4
y = 4/3 x - 4 + 3
y = 4/3 x - 1 This is the equation of the line.