Final answer:
To convert the equation 5x-8y-7=0 to slope-intercept form, you need to isolate y on one side of the equation. The slope of the line is 5/8 and the y-intercept is -7/8.
Step-by-step explanation:
In the equation 5x-8y-7=0, where 5x-8y-7 represents the left-hand side of the equation, 0 represents the right-hand side of the equation. To put this equation in slope-intercept form, we need to isolate y on one side of the equation.
Step 1: Start with the original equation: 5x-8y-7=0
Step 2: Move the 5x term to the right-hand side by adding it to both sides of the equation: -8y = -5x + 7
Step 3: Divide both sides of the equation by -8 to isolate y: y = (5/8)x - 7/8
Therefore, the equation 5x-8y-7=0 in slope-intercept form is y = (5/8)x - 7/8. The slope of the line is 5/8, and the y-intercept is -7/8.