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 linear equation 4x−8y=24 can be transformed to slope-intercept form as y=12x−3.
To transform the linear equation 4x - 8y = 24 into slope-intercept form, follow these steps:
Step 1: Move the term containing x to the other side of the equation by subtracting 4x from both sides:
-8y = -4x + 24
Step 2: Divide both sides of the equation by -8 to isolate the y term:
y = (-4/-8)x + (24/-8)
Simplifying further:
y = 1/2x - 3
Therefore, the equation in slope-intercept form is y = 1/2x - 3.
To transform the linear equation 4x - 8y = 24 to slope-intercept 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. Move the term containing the variable y to the other side of the equation by subtracting 4x from both sides: -8y = -4x + 24.
3. Divide both sides of the equation by -8 to isolate y: y = (-4x + 24) / -8.
4. Simplify the expression on the right side by performing the division: y = -1/2x + 3.
5. In the slope-intercept form, the coefficient of x is the slope (m), and the constant term is the y-intercept (b). Therefore, the slope of the line is -1/2, and the y-intercept is 3.
So, the linear equation 4x - 8y = 24 is transformed to the slope-intercept form as y = -1/2x + 3.