Convert 2x - 8 + 4y = 0 to y=mx+b
4 y = -2 x + 8
so
y = -(1/2) x + 2
slope m = -1/2
y intercept b = 2
4y = -2x + 8
Divide both sides by 4.
To convert the equation 2x - 8 + 4y = 0 to the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept, we need to isolate the term with y on one side of the equation.
Let's begin by moving the terms involving x to the other side:
2x - 8 + 4y = 0
2x + 4y = 8
Next, let's subtract 2x from both sides to isolate the term with y:
2x + 4y - 2x = 8 - 2x
4y = -2x + 8
Now, divide both sides of the equation by 4 to solve for y:
4y/4 = (-2x + 8)/4
y = (-2/4)x + 2
Finally, simplify the equation:
y = (-1/2)x + 2
The equation 2x - 8 + 4y = 0 is now converted to the slope-intercept form y = mx + b, where m = -1/2 (the slope) and b = 2 (the y-intercept).