Question

How to write 5x - 3y = 30 in slope-intercept form?

a) y = (5/3)x - 10
b) y = (5/3)x + 10
c) y = (3/5)x - 10
d) y = (3/5)x + 10

Answer 1

To write the equation 5x - 3y = 30 in slope-intercept form, subtract 5x from both sides and divide by -3 to solve for y. The correct answer is a) y = (5/3)x - 10.

Step-by-step explanation:

To write the equation 5x - 3y = 30 in slope-intercept form, which is in the form y = mx + b, we need to isolate y on one side of the equation.

First, subtract 5x from both sides of the equation:

-3y = -5x + 30

Next, divide both sides of the equation by -3 to solve for y:

y = (5/3)x - 10

Therefore, the equation 5x - 3y = 30 in slope-intercept form is represented as y = (5/3)x - 10.

To convert the equation 5x - 3y = 30 to slope-intercept form, isolate y by moving 5x to the right and then divide every term by -3. The correct slope-intercept form is y = (5/3)x - 10.