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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)


Sagot :

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

[tex]y=4x-25[/tex]

Step-by-step explanation:

we know that

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

[tex]y=mx+b[/tex]

where

m is the slope

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

In this problem we have

[tex]m=4[/tex]

[tex]point(6,-1)[/tex]

substitute the values in the equation and solve for b

[tex]-1=4*6+b[/tex]

[tex]b=-1-24=-25[/tex]

The equation of the line is equal to

[tex]y=4x-25[/tex]