Transform this equation to slope-intercept form: 6x + 4y = 8.
A. y=3/2x +4
B.y=-3/2x +4
C.y=-3/2x +2
D.y=3/4x +2
C) y= -3/2x +2
6x + 4y = 8
4y = -6x+8
...
To transform the equation 6x + 4y = 8 to slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, you can follow these steps:
Step 1: Isolate the term with the variable y by subtracting 6x from both sides of the equation:
6x + 4y - 6x = 8 - 6x
4y = -6x + 8
Step 2: Divide both sides of the equation by 4 to isolate y:
4y/4 = (-6/4)x + 8/4
y = (-3/2)x + 2
The equation is now in slope-intercept form (y = mx + b). Comparing this form to the given options, we can see that the equation (in slope-intercept form) for 6x + 4y = 8 is:
C. y = -3/2x + 2