216k views
1 vote
Which equation represents the line that passes through the points (-3, 7) and (3, 3)?

User Neemaximo
by
4.4k points

1 Answer

5 votes

Answer: y = 2/3 (x + 3) +7

Explanation:

1. Find the slope

Slope is found by the change in y over the change of x.

(7-3)/(3--3)

2. Evaluate

4/6

3. Simplify

2/3

4. Find a point to use in the equation, so you can write the equation in point, slope form. For this problem, I have chosen the provided point, (-3, 7)

Point slope form: y = m(x - x1) + y1

5. Plug the point into the equation

y = 2/3 (x + 3) +7

User Sedat Kilinc
by
3.9k points