Question

Write an equation for the line that passes through (-24,-11) and (-8,-3).

Answer 1

find the slope of the line using \(\huge{m={{y_2-y_1}\over{x_2-x_1}}}\).

once you've found the slope plug in the slope, and one of the two given set of points

into the point-slope formula \(\huge y-y_1=m(x-x_1)\).

Answer 2

So, far I got m=2

Answer 3

What do I do next?

Answer 4

try doing the slope again:\[m={{(-3)-(-11)}\over{(-8)-(-24)}}\]\[m={{-3+11}\over{-8+24}}\]\[m={{8}\over{16}}\]\[m={1\over2}\]

Answer 5

remember, its the difference in \(y\) over the difference in \(x\) :)

Answer 6

now that you have that, just plug in one of the points along with the slope in the formula i gave above:\[y-(-11)={1\over2}(x-(-24))\]\[y+11={1\over2}(x+24)\]\[y+11={1\over2}x+12\]\[y={1\over2}x+1\]

Answer 7

hope that helps! :) @smithjessica27

Answer 8

yup, thanks :)