Use the point-slope form to write an equation of the line with the slope 8 and that passes through the point (1, 4).
A)y + 1 = 8( x $-$ 4)
B)y $-$ 4 = 8( x + 1)
C)y + 4 = 8( x $-$ 1)
D)y $-$ 4 = 8( x $-$ 1)
E)y $-$ 1 = 8( x $-$ 4)

Question

Quizplus · Accepted Answer

The point-slope form of a line is y - y1 = m(x - x1), where (x1,y1) is a point on the line and m is the slope of the line.

In this case, we are given that the slope of the line is 8 and it passes through the point (1,4).

Substituting these values into the point-slope formula, we get:

y - 4 = 8(x - 1)

Simplifying and rearranging, we get:

y - 4 = 8x - 8

y = 8x - 4

Therefore, the correct choice is D.

Use the Point-Slope Form to Write an Equation of the Line