Question

A line intersects the points(-22,-14) and (-18,-12). What is the slope-intercept equation for this line?

Answer 1

Hello there,

Well we are going to start off with the equation to find the slope based on the given points:

`(y_(2) - y_(1) )/(x_(2) -x_(1) )`

Now using the two given points we are going to plug in and solve:

`((-12)-(-14))/((-18)-(-22))` =
`(2)/(4)` =
`(1)/(2)`

From this you know that
`(1)/(2)` is the slope of the equation. However, to find the y-intercept we are going to use y = mx+ b and plug in one of the points to solve:

(-14) =
`(1)/(2)` (-22) + b

(-14) = (-11) + b

-3 = b

That means that the y-intercept is at (0, -3). Lastly, we are just going to plug all this into the slope-intercept form:

y =
`(1)/(2)` - 3

Hope I helped,

Amna