Question

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

Point: (7, 4) Slope: 6

y+4=6(x−7)

y−4=6(x−7)

y−7=6(x+4)

y−4=6(x+7)

Answer 1

Point-slope is y - y1 = 6 ( x - x1)
Plugging it in : y - 4 = 6 ( x - 7)

So the answer is the 2d one.

Answer 2

we know that

the equation of the line in the point-slope form is equal to

`y-y1=m*(x-x1)`

in this problem we have

`Point (7,4)\\x 1=7\\y 1=4\\slope\ m=6`

substitute the values in the formula

`y-4=6*(x-7)`

therefore

the answer is

`y-4=6*(x-7)`