Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)
Responses
4x−8y−24=0
4 x minus 8 y minus 24 equals 0
−8y=−4x+24
negative 8 y equals negative 4 x plus 24
4x−8y=24
4 x minus 8 y equals 24
y=12x−3
y = 12x - 3
To transform the linear equation 4x - 8y = 24 to slope-intercept form, follow these steps:
1. Start with the original equation: 4x - 8y = 24.
2. Move the constant term (24) to the right side of the equation by subtracting 24 from both sides:
4x - 8y - 24 = 0.
3. Simplify the equation:
4x - 8y - 24 = 0.
4. Divide the entire equation by -8 to isolate y:
-8y = -4x + 24.
5. Divide both sides by -8 to solve for y:
y = 12x - 3.
Therefore, the linear equation 4x - 8y = 24 in slope-intercept form is: y = 12x - 3.
To transform the linear equation 4x - 8y = 24 to slope-intercept form, which is in the form y = mx + b, where m is the slope and b is the y-intercept, follow these steps:
1. Start with the given equation: 4x - 8y = 24
2. We want to isolate y on one side of the equation, so let's move the 4x term to the other side.
Subtract 4x from both sides:
-8y = -4x + 24
3. Next, divide every term by -8 to solve for y and simplify:
y = (1/8)x - 3
Therefore, the slope-intercept form of the equation 4x - 8y = 24 is y = (1/8)x - 3.