Question

Write an equation for a line with a slope of 2, through (4,-2) in standard form

Answer 1

y = 2x - 10

Step-by-step explanation:

`y=mx+b`

`y=2x+b`

`-2=2(4)+b`

`-2=8+b`

`b=-2-8`

`b=10`

`y=2x-10`

Answer 2

Equation:

`\sf{y = 2x - 10}`

Step-by-step explanation:

First, I will write the equation in point slope:

`\sf{y-y_1=m(x-x_1)}`

Where:

• m = slope

Plug in the data:

`\sf{y-(-2)=2(x-4)}`

`\sf{y+2=2(x-4)}\\\sf{y+2=2x-8}\\\sf{y=2x-8-2}\\\sf{y=2x-10}`

Hence, the answer is y = 2x - 10.