Question

Choose the equation of a line with a slope m = -2/3 and a point (3, 3) on the line.

Answer 1

Answer:

last option: y = (-2/3)x + 5

Step-by-step explanation:

slope-intercept equation:  y = mx + b

where m is the slope and b is the y-intercept

if slope m = -2/3, then  y = (-2/3)x + b

if point (3, 3) is on the line, substitute x=3 and y=3 into the equation and solve for b:

3 = (-2/3)3 + b

⇒ 3 = -2 + b

⇒ b = 5

Therefore, equation:  y = (-2/3)x + 5