Which is an equation in point-slope form for the given point and slope?Point: (1, –7); Slope: y – 7 = (x – 1)y + 7 = (x + 1)y – 7 = (x + 1)y + 7 = (x – 1)1 points Save AnswerQUESTION 3Which is an equation in point-slope form for the given point and slope?Point: (5, 9); Slope: 2y – 9 = 2(x – 5)y – 5 = 2(x + 9)y + 9 = 2(x – 5)y – 9 = 2(x + 5)1 points Save AnswerQUESTION 4Which equation is graphed here? Graph of a line containing the following points: (–2, 4), (0, 1), and (2, –2).
Accepted Solution
A:
The point-slope form: [tex]y-y_1=m(x-x_1)[/tex]Q2.[tex](1,\ -7)\to x_1=1,\ y_1=-7\\m=1\\\\y-(-7)=1(x-1)\\\\y+7=(x-1)[/tex]Q3.[tex](5,\ 9)\to x_1=5,\ y_1=9\\m=2\\\\y-9=2(x-5)[/tex]Q4.[tex]y=mx+b\\\\(0,\ 1)\to b=1\\\\y=mx+1[/tex]The formula of a slope: [tex]m=\dfrac{x_2-x_1}{y_2-y_1}[/tex][tex]((-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[/tex][tex]y=-1.5x+1[/tex]