6X - 6y = 8 , What will be the slope of line?

Answer 1

The standard form of the equation of a line is y= mx+b, where m is the slope and b is the y-intercept. . Therefore, to find the slope of this line, you need to rearrange this equation in the form of y=mx+b, where m is the slope of the line.

6x-6y=8

-> 6x-6y-6x=8-6x

-> -6y=8-6x

->(-6y/-6)=x-(8/6)

->y=1x-(4/3)

so the slope is 1

Answer 2

Slope is Δy/Δx, so determine 2 points - easiest are the x- and y-intercepts:

6(0) - 6y = 8 -> -6y = 8 -> y = -8/6 = -1 1/3

6x - 6(0) = 8 -> 6x = 8 -> x = 8/6 = 1 1/3

Δy = 0 - (-1 1/3) = 1 1/3

Δx = 1 1/3 - 0 = 1 1/3

Slope = 1

Answer 3

6x-6y = 8

3x-3y = 4

3x = 3y+4

3x - 4 = 3y

(3x-4)/3 = y

x - 4/3 = y

the slope is 1.

(0,-4/3) and

(4/3,0) are the intercepts