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

B.
(7, -3)

C.
(-7, -3)

D.
(-7, 3)

Step-by-step explanation:

The standard form of a point slope equation of a line is expressed as shown;

y-y₀ = m(x-x₀) where;

m is the slope of the line

(x₀, y₀) is the coordinate of the point that lies in the line.

Comparing the standard equation given with the equation in question

y - 3 = 4(x + 7) to get the point on the line we will have;

y₀  = 3 and -x₀ = 7

for -x₀ = 7;

multiply both sides with a minus sign

-(-x₀) = -7

x₀ = -7

Hence the coordinate of the point required (x₀, y₀) is (-7, 3).

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step-by-step explanation: