102k views
6 votes
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 = -2/3 and a point (3, 3) on the line-example-1
User Hecksa
by
8.1k points

1 Answer

7 votes

Answer:

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

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

User Seyid Yagmur
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories