Respuesta :

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:

B. [tex](-7,3)[/tex]

Step-by-step explanation:

We have been given equation of a line in point-slope form of equation [tex](y-3)=4(x+7)[/tex]. 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: [tex](y-y_1)=m(x-x_1)[/tex], where,

[tex](x_1,y_1)[/tex] are the coordinates of point that lies on the line.

m = Slope of line.

We can rewrite our given equation as:

[tex](y-3)=4(x--7)[/tex]

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

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