Question

What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)?

y=34x−92

y=34x+72

y=34x−74

y=34x+174

Answer 1

y = 3/4x + 17/9

Explanation:

Find the slope:

5 - 2/ 1 - (- 3)

3/ 1 + 4

3/4

Find the y-intercept:

2 = 3/4(-3) + b

2 = -9/4 + b

17/4 = b

Put it in an equation:

y = 3/4x + 17/9

Answer 2

y = 3/4x + 17/4

Explanation:

Step 1: Find slope m

m = (5 - 2)/(1 + 3)

m = 3/4

y = 3/4x + b

Step 2: Find b

5 = 3/4(1) + b

5 = 3/4 + b

b = 17/4

Step 3: Rewrite equation

y = 3/4x + 17/4