To transform the equation 4x - 8y = 24 to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, you need to isolate y on one side of the equation. Here's the process:
1. Start with the equation: 4x - 8y = 24.
2. Move the 4x term to the other side of the equation by subtracting 4x from both sides: -8y = -4x + 24.
3. Divide every term in the equation by -8 to have y isolated: y = (-4x + 24)/-8.
4. Simplify the right side of the equation: y = -4x/-8 + 24/-8.
5. Further simplify: y = 1/2x - 3.
Therefore, the equation 4x - 8y = 24 is transformed to slope-intercept form as y = 1/2x - 3.
Transform the linear equation 4x-8y=24 to slope intercept form
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