Question

Complete the equation of the line through (-10,3) (-8,-8)

Answer 1

The correct equation is y =
`(-11)/(2)`x - 52.

In order to find this, we first must use the slope formula. The slope formula allows us to tell what the m value is for our slope intercept form (y = mx + b).

Slope (m) =
`(y1 - y2)/(x1 - x2)`

Slope (m) =
`(3 - -8)/(-10 - -8)`

Slope (m) =
`(3 + 8)/(-10 + 8)`

Slope (m) =
`(11)/(-2)`

Now that we have the slope at
`(11)/(-2)`, we can use that value and one of the ordered pairs to find the intercept (b), using the equation y = mx + b.\

y = mx + b ---> plug in known values
3 =
`(11)/(-2)`(-10) + b
3 =
`(110)/(2)` + b
3 = 55 + b
-52 = b

Now we can use those two (m and b) to write the equation.

y =
`(11)/(-2)`x - 52