Cringe2Win Cringe2Win
  • 08-02-2022
  • Mathematics
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Choose the equation of a line with a slope m = -2/3 and a point (3, 3) on the line.

Choose the equation of a line with a slope m 23 and a point 3 3 on the line class=

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semsee45
semsee45 semsee45
  • 08-02-2022

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

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