Question

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)
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QUESTION 3

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


Point: (5, 9); Slope: 2

y – 9 = 2(x – 5)


y – 5 = 2(x + 9)


y + 9 = 2(x – 5)


y – 9 = 2(x + 5)

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QUESTION 4

Which equation is graphed here?





Graph of a line containing the following points: (–2, 4), (0, 1), and (2, –2).

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=(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=(-2-4)/(2-(-2))=(-6)/(4)=-1.5`

`y=-1.5x+1`