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 solve for y.
Starting with the given equation:
4x - 8y = 24
First, let's isolate the variable y by subtracting 4x from both sides of the equation:
-8y = -4x + 24
Next, divide the entire equation by -8 to solve for y:
y = (-4x + 24) / -8
Simplifying the expression on the right side, we get:
y = -4x/(-8) + 24/(-8)
Simplifying further:
y = 0.5x - 3
Therefore, the given linear equation 4x - 8y = 24 can be transformed to slope-intercept form as y = 0.5x - 3.
To transform the linear equation 4x - 8y = 24 to slope-intercept form, we need to isolate the y variable (y = mx + b), where m represents the slope and b represents the y-intercept.
Let's begin by rearranging the equation:
4x - 8y = 24
Subtract 4x from both sides to move the x variable to the other side of the equation:
-8y = -4x + 24
Next, divide both sides of the equation by -8 to isolate the y variable:
y = (-4x + 24)/(-8)
Simplify the equation further:
y = -4x/(-8) + 24/(-8)
The equation can be simplified to:
y = 0.5x - 3
Now the equation is in slope-intercept form (y = mx + b) with the slope (m) equal to 0.5 and the y-intercept (b) equal to -3.
To transform the linear equation 4x - 8y = 24 to slope-intercept form, we need to isolate the y variable.
Step 1: Move the x term to the other side of the equation:
4x - 8y = 24
Subtract 4x from both sides:
-8y = -4x + 24
Step 2: Divide by -8 to solve for y:
y = (-4x + 24) / -8
Step 3: Simplify the expression:
y = -4x/-8 + 24/-8
y = 1/2x - 3
The equation 4x - 8y = 24, when transformed to slope-intercept form, is y = 1/2x - 3.