Answer:
y + 2 = 5/3(x - 4)
Step-by-step explanation:
Point-slope form of the equation of a line is a shortcut, fill-in-the-blank formula. You can write an equation just by filling in the slope and a point (hence the name, point-slope)
It looks like this:
y - Y = m(x - X)
The point given is (4,-2) fill in the -2 for the Y. Leave the first y just like it is, it stays a y. Fill in the 4 for X. Leave the first little x in the parenthesis alone Leave it an x.
y - -2 = m(x - 4)
Fill in the slope for the m.
y - -2 = 5/3(x - 4)
Simplify if possible.
y + 2 = 5/3 (x - 4)
