Question

Write an equation that passes through points (-6,1) (4,3)

Answer 1

`y=mx+b`

First, we find the slope.

`m=(y_2-y_1)/(x_2-x_1) \\m=(3-1)/(4+6) \\m=(2)/(10)\\m=(1)/(5)`

Second, we know the slope. Substitute any ordered pairs that are given in the equation.

`y=mx+b\\y=(1)/(5)x+b\\`

I'll use the ordered pairs (4,3) as I substitute x = 4 and y = 3.

`3=(1)/(5)(4)+b\\3=(4)/(5)+b\\15=4+5b\\15-4=5b\\11=5b\\(11)/(5)=b`

Therefore, the equation is
`y=(1)/(5)x+(11)/(5)`