Question

Which is an equation in point-slope form for the given point and slope?

Answer 1

The point-slope form: $y-y_1=m(x-x_1)$

Q2.

$(1,\ -7)\to x_1=1,\ y_1=-7\\m=1\\\\y-(-7)=1(x-1)\\\\y+7=(x-1)$

Q3.

$(5,\ 9)\to x_1=5,\ y_1=9\\m=2\\\\y-9=2(x-5)$

Q4.

$y=mx+b\\\\(0,\ 1)\to b=1\\\\y=mx+1$

The formula of a slope: $m=\dfrac{x_2-x_1}{y_2-y_1}$

$((-2,\ 4)\to x_1=-2,\ y=4\\(2,\ -2)\to x_2=2,\ y_2=-2\\\\m=\dfrac{-2-4}{2-(-2)}=\dfrac{-6}{4}=-1.5$

$y=-1.5x+1$