Question

What is the slope intercept from of the line passing through (8,1)&(-3,5)

Answer 1

y=-4/11x+43/11

Explanation:

SLOPE FORMULA:

`\displaystyle \mathsf{(y_2-y_1)/(x_2-x_1) }}`

SLOPE-INTERCEPT FORM:

`\displaystyle \mathsf{y=mx+b}`

Y₂=5

Y₁=1

X₂=(-3)

X₁=8

Solve.

`\displaystyle \mathsf{ (5-1)/((-3)-8)=(4)/(-11)=-(4)/(11)   }}`

m represents the slope.

b represents the y-intercept.

The slope is -4/11.

The y-intercept is 43/11.

So, the slope-intercept form of the line passing through of (8,1) and (-3,5) is y=-4/11x+43/11.