Question

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

Answer 1

y=3/4x+17/4

Explanation:

Answer 2

y = (3/4)x + 17/4

Explanation:

The slope-intercept form of the equation of the line is y = ax + b

This line passes (-3, 2) and (1, 5)

=> 2 = a(-3) + b

=> 5 = a(1) + b

Subtraction 1st equation from 2nd equation, we have:

3 = 4a

=> a = 3/4

From 2nd equation, we have: 5 = 3/4 + b

=> b = 5 - 3/4 = 17/4

=> y = (3/4)x + 17/4

Hope this helps!