Write an equation in slope-intercept form of the line through point P(6, –1) with slope 4.

Ay = 4x – 25
By = 4x – 1
Cy + 1 = 4(x – 6)
Dy + 6 = 4(x – 1)

Verified Answer :

y = mx+b

m= 4 

y= 4x+b

solve for b using (6,-1)

-1 = 4 (-1)+b
b=3

therefore equation is y=4x+3

same as (y+1)=4(x-6)

Answer:

The answer is the option A

\(y=4x-25\)

Step-by-step explanation:

we know that

The equation of the line into slope-intercept form is equal to

\(y=mx+b\)

where

m is the slope

b is the y-coordinate of the y-intercept of the line

In this problem we have

\(m=4\)

\(point(6,-1)\)

substitute the values in the equation and solve for b

\(-1=4*6+b\)

\(b=-1-24=-25\)

The equation of the line is equal to

\(y=4x-25\)