Question

Write in slope-intercept form an equation of the line that passes through the given points.

(−1,4),(3,8)

Answer 1

answer: y = x + 5

step by step explanation:

Answer 2

y = x + 5

Explanation:

Slope (m) formula:
`m=(y_2-y_1)/(x_2-x_1)`

`m=(y_2-y_1)/(x_2-x_1)\\\\m=(8-4)/(3-(-1))\\\\m=(8-4)/(3+1)\\\\m=(4)/(4)\\\\m=1`

y = mx + b

y = 1x + b OR y = x + b

(-1, 4)

y = x + b

4 = -1 + b

+1 +1

5 = b

y = x + 5

Check your answer using y = x + 5 and (3, 8):

y = x + 5

8 = 3 + 5

8 = 8

This statement is true

Therefore, our final answer is, y = x + 5.

Hope this helps!