147k views
2 votes
Find the the equation of the line passing through the points (3,3) and (4, 5)

Find the the equation of the line passing through the points (3,3) and (4, 5)-example-1

1 Answer

4 votes

Answer:

y = 2x - 3

Explanation:

Given:

(3, 3) and (4, 5)

Solve:

Find the slope (m) between the two points:

m = (y2 - y1)/(y2 - 1)

(x1, y1) = (3, 3)

(x2, y2) = (4, 5)

m = (5 - 3)/(4 - 3)

= 2/1

m = 2

Slope-intercept form (y = mx + a):

y = 2x + a

To find a, plug in one of the points into the equation:

3 = 2(3) + a

3 = 6 + a

3 - 6 = a

a = -3

y = 2x - 3

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