107k views
1 vote
What is the equation of the line in slope-intercept form (y = mx + b) with a slope of -1/3 passing through the point (-3, 8)?

a) y = -1/3x + 5
b) y = -1/3x + 7
c) y = -1/3x + 9
d) y = -1/3x + 11

User Hbrls
by
8.3k points

1 Answer

1 vote

Final answer:

The equation of the line with a slope of -1/3 passing through point (-3, 8) is y = -1/3x + 7, matching option (b). To derive this, the slope and point are substituted into the slope-intercept form and simplified to find the y-intercept.

Step-by-step explanation:

The student is asking for the equation of a straight line in slope-intercept form (y = mx + b) with a given slope of -1/3 that passes through a specific point (-3, 8). To find the equation, we can plug the slope and the coordinates of the point into the slope-intercept form.

Using the point (-3, 8), the equation becomes y - 8 = -1/3(x + 3). Simplifying this equation will give us the y-intercept (b).

Solving step-by-step:

  1. y - 8 = -1/3x - 1
  2. y = -1/3x - 1 + 8
  3. y = -1/3x + 7

The correct equation, therefore, is y = -1/3x + 7, which matches option (b).

User Khilen
by
8.1k 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