Question

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

A. y = 4x – 25
B. y = 4x – 1
C. y + 1 = 4(x – 6)
D. y + 6 = 4(x – 1)

Answer 1

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 2

The answer is the option A

`y=4x-25`

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`