Question

Point: (1, –7); Slope:

y – 7 = (x + 1)


y – 7 = (x – 1)


y + 7 = (x – 1)


y + 7 = (x + 1)
Question 2
Which is an equation in point-slope form for the given point and slope?

Point: (7, 4); Slope: 6



y – 7 = 6(x + 4)


y – 4 = 6(x – 7)


y – 4 = 6(x + 7)


y + 4 = 6(x – 7)
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)

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)`

Q1.

We have the point (1, -7) and the slope m = 1. Substitute:

`y-(-7)=1(x-1)\\\\\boxed{y+7=(x-1)}`

Q2.

We have the point (7, 4) and the slope m = 6. Substitute:

`\boxed{y-4=6(x-7)}`

Q3.

We have the point (5, 9) and the slope m = 2. Substitute:

`\boxed{y-9=2(x-5)}`