Final answer:
To write the equation 5x - 4y = 10 in slope-intercept form, subtract 5x from both sides and divide by -4 to solve for y. The equation in slope-intercept form is y = (5/4)x - 5/2.
Step-by-step explanation:
To write the equation 5x - 4y = 10 in slope-intercept form, we need to isolate y on one side of the equation.
Step 1: Start by subtracting 5x from both sides of the equation to move it to the other side of the equation. We get -4y = -5x + 10.
Step 2: Divide both sides of the equation by -4 to solve for y. This gives us y = (5/4)x - 5/2.
Therefore, the equation 5x - 4y = 10 in slope-intercept form is y = (5/4)x - 5/2.
Learn more about writing an equation in slope-intercept form