Question

Which point lies on the line with point slope equation y-3=4(x+7)?

Answer 1

Point slope form is y - y1 = m (x - x1), so the point on the line is (-7, 3).
You can plug the point back in the check. Slope is given.
y - 3 = 4 (x- (-7))
y - 3 = 4 (x + 7)
It's correct, so you know that B (-7, 3) is the answer.

Answer 2

B.
`(-7,3)`

Explanation:

We have been given equation of a line in point-slope form of equation
`(y-3)=4(x+7)`. We are asked to find the point, which lies on the given line.

We know that point-slope form of an equation is in format:
`(y-y_1)=m(x-x_1)`, where,

`(x_1,y_1)` are the coordinates of point that lies on the line.

m = Slope of line.

We can rewrite our given equation as:

`(y-3)=4(x--7)`

Therefore, the coordinate of point that lies on the given line would be
`(-7,3)` and option B is the correct choice.