Transform the linear equation 4x−8y=24 to slope-intercept form
To transform the equation 4x - 8y = 24 to slope-intercept form, we need to isolate y on one side of the equation.
Starting with 4x - 8y = 24:
Step 1: Subtract 4x from both sides to move the x term to the other side:
-8y = -4x + 24
Step 2: Divide both sides by -8 to isolate y:
y = (-4x + 24)/-8
Step 3: Simplify the right side of the equation:
y = (-1/2)x + 3
The equation is now in slope-intercept form, y = mx + b, where m is the slope (-1/2) and b is the y-intercept (3).
To transform the linear equation 4x - 8y = 24 to slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
Step 1: Move the 4x term to the other side of the equation by subtracting 4x from both sides:
4x - 4x - 8y = -4x + 24
-8y = -4x + 24
Step 2: Divide both sides of the equation by -8 to isolate y:
-8y / -8 = (-4x + 24) / -8
Simplifying this expression gives us:
y = 0.5x - 3
Therefore, the equation 4x - 8y = 24, when transformed, is y = 0.5x - 3 in slope-intercept form.