Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)
Responses
−8y=−4x+24
negative 8 y equals negative 4 x plus 24
4x−8y=24
4 x minus 8 y equals 24
4x−8y−24=0
4 x minus 8 y minus 24 equals 0
y=12x−3
The correct response is:
y = 0.5x - 3
Question
Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)
To transform the equation 4x - 8y = 24 to slope-intercept form, we need to solve for y.
Step 1: Subtract 4x from both sides of the equation:
-8y = -4x + 24
Step 2: Divide both sides of the equation by -8:
y = (-4/-8)x + 24/-8
Simplifying the equation further:
y = 0.5x - 3
Therefore, the slope-intercept form of the equation 4x - 8y = 24 is y = 0.5x - 3.
To transform the linear equation 4x - 8y = 24 to slope-intercept form, follow these steps:
1. Move the constant term to the other side of the equation by subtracting 24 from both sides:
4x - 8y - 24 = 0
2. Rearrange the equation to isolate the y-term:
-8y = -4x + 24
3. Divide both sides of the equation by -8 to solve for y:
y = (-4/-8)x + (24/-8)
Simplifying the equation further, you get:
y = (1/2)x - 3
Therefore, the equation in slope-intercept form is y = (1/2)x - 3.