8x - 3y = 24
y-intercept ⇒ x = 0
subtitute
8 · 0 - 3y = 24
-3y = 24 |divide both sides by (-3)
y = -8
Slope of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (2, -3) and m = 5/8.
Therefore equation of the line is y - (-3) = 5/8(x - 2)
8(y + 3) = 5x - 10
8y + 24 = 5x - 10
8y - 5x = -10 - 24 = -34
5x - 8y = 34
Answer: answer in screenshots down below
Step-by-step explanation: