Can you turn 4x + 8y = 15 into slope intercept form?
To rewrite the equation 4x + 8y = 15 in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
Let's start by isolating the term with y by subtracting 4x from both sides:
8y = -4x + 15
Next, divide both sides by 8 to solve for y:
y = (-4/8)x + 15/8
Simplifying further:
y = -1/2x + 15/8
Therefore, the equation 4x + 8y = 15 can be written in slope-intercept form as y = -1/2x + 15/8.
To convert the equation 4x + 8y = 15 into slope-intercept form (y = mx + b), you need to isolate the y variable on one side of the equation.
Here's how you can do it step-by-step:
Step 1: Start with the equation: 4x + 8y = 15.
Step 2: Subtract 4x from both sides of the equation to move the x term to the right side:
4x + 8y - 4x = 15 - 4x
Simplifying, we have: 8y = -4x + 15.
Step 3: Divide both sides of the equation by 8:
(8y)/8 = (-4x + 15)/8,
which simplifies to: y = (-1/2)x + 15/8.
Therefore, the equation 4x + 8y = 15 can be written in slope-intercept form as y = (-1/2)x + 15/8.