Question

Write the equation of the line, in slope intercept form, containing the points (2, -1) and (-2, 7)

Answer 1

`\ell=-2x+3`

Explanation:

Recall the slope formula is the following:

`m=(y_2-y_1)/(x_2-x_1)=(\Delta y)/(\Delta x)`

Plug in values:

`m=(7+1)/(-2-2)=-(8)/(4)=-2`

Now, we must find the b value from the form
`\ell=mx+b`.

`7=-2(-2)+b`

`7=4+b`

`3=b`

Therefore,
`\ell=-2x+3`.