Question

Which equation is the equation of the line, in point-slope form, that has a slope of -4 and passes through the point (7, 1)?

A) y-7 = 4(x - 1)
B)y-1= -4(x + 7)
C)y-7 = -4(x - 1)
D) y-1= -4(x - 7)

Answer 1

The equation of the line in point-slope form that has a slope of -4 and passes through the point (7, 1) is y - 1 = -4x + 28.

So, the correct answer is D.

Step-by-step explanation:

To find the equation of the line in point-slope form, we use the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

In this case, the given slope is -4 and the point is (7, 1).

Using the formula, we have y - 1 = -4(x - 7), which simplifies to y - 1 = -4x + 28.

Therefore, the equation of the line in point-slope form is y - 1 = -4x + 28.

So, the correct answer is D.

Answer 2

D

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b ) a point on the line

here slope m = - 4 and (a, b ) = (7, 1 ) , then

y - 1 = - 4(x - 7 ) ← equation of line