find the y-intercept and the x-intercept
5x+4y=60
Just substitute zero for x and then y.
To find the y-intercept of the equation 5x + 4y = 60, we set x = 0 and solve for y.
Substituting x = 0 into the equation, we have:
5(0) + 4y = 60
Simplifying, we get:
4y = 60
Divide both sides of the equation by 4:
y = 15
Therefore, the y-intercept is 15. It is the value of y when x = 0.
To find the x-intercept, we set y = 0 and solve for x.
Substituting y = 0 into the equation, we have:
5x + 4(0) = 60
Simplifying, we get:
5x = 60
Divide both sides of the equation by 5:
x = 12
Therefore, the x-intercept is 12. It is the value of x when y = 0.
The y-intercept is (0, 15) and the x-intercept is (12, 0).