Change the equation 5x+3y=60 to slope-intercept form.
y =-5x/3 +20
slope = -5/3
To change the equation 5x + 3y = 60 to slope-intercept form, you need to isolate y on one side of the equation.
Starting with the equation 5x + 3y = 60:
1. Subtract 5x from both sides to isolate the term with y:
5x - 5x + 3y = 60 - 5x
Simplifying the terms:
3y = -5x + 60
2. Divide both sides of the equation by 3 to isolate y:
3y/3 = (-5x + 60)/3
Simplifying further:
y = (-5/3)x + 20
Therefore, the equation 5x + 3y = 60 can be written in slope-intercept form as y = (-5/3)x + 20.
To change the equation 5x + 3y = 60 to slope-intercept form, which is in the form of y = mx + b, where m is the slope and b is the y-intercept, follow these steps:
Step 1: Move the term with x to the other side of the equation.
Start by subtracting 5x from both sides of the equation:
5x + 3y - 5x = 60 - 5x
This simplifies to:
3y = -5x + 60
Step 2: Solve for y by dividing every term by 3 to isolate it.
Divide both sides of the equation by 3:
(3y)/3 = (-5x + 60)/3
This simplifies to:
y = (-5/3)x + 20
So, the equation 5x + 3y = 60 in slope-intercept form is y = (-5/3)x + 20.