Question

Use slope-intercept form, y = mx + b to find the equation of the line that passes through the points (−6, 1) and (3, 4).

Answer 1

Answer:

Y=1/3x+3

Step-by-step explanation:

To solve this problem, first, you have to use the slope formula of y₂-y₁/x₂-x₁=rise/run. Remember to solve this problem, use slope-intercept form of y=mx+b.

m represents the slope.

b represents the y-intercept.

Y₂=4

Y₁=1

X₂=3

X₁=(-6)

Solve & simplify.

$\displaystyle \mathsf{\frac{4-1}{3-(-6)}=\frac{3}{9}=\frac{3\div3}{9\div3}=\frac{1}{3} }}$

The slope is 1/3.

Y-intercept is 3.

y=1/3x+3

In conclusion, the correct answer is y=1/3x+3.