How would i change x-4y= -20 to slope intercept form?
add 4y to each side
x=4y-20
add 20 to each side
x+20=4y
divide each side by 4
y=x/4 + 5
To change the equation x - 4y = -20 to the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, you need to isolate y on one side of the equation.
Here's the step-by-step process:
1. Start with the given equation: x - 4y = -20.
2. Move the x term to the other side of the equation by subtracting x from both sides:
-4y = -x - 20.
3. Divide both sides of the equation by -4 to solve for y:
y = (-x - 20) / -4.
4. Simplify the right side of the equation:
y = (1/4)x + 5.
Now you have the equation in slope-intercept form, y = mx + b, where the slope (m) is 1/4 and the y-intercept (b) is 5.