how to find the xintercept and y intercept
5y=15x-90
plug in zero for y to solve for x (that's the x-intercept)
plug in zero for x to solve for y (that's the y-intercept)
x=(-6,0)
y=(0,18)
To find the x-intercept and y-intercept of the equation 5y = 15x - 90, we can use the fact that the x-intercept occurs when y is equal to zero, and the y-intercept occurs when x is equal to zero.
1. To find the x-intercept:
Set y = 0 in the equation:
5(0) = 15x - 90
0 = 15x - 90
Now solve for x:
15x = 90
x = 90/15
x = 6
Therefore, the x-intercept is (6, 0).
2. To find the y-intercept:
Set x = 0 in the equation:
5y = 15(0) - 90
5y = -90
Now solve for y:
y = -90/5
y = -18
Therefore, the y-intercept is (0, -18).
So, the x-intercept is (6, 0) and the y-intercept is (0, -18).
To find the x-intercept and y-intercept of a linear equation, you need to understand that the x-intercept is the point where the graph of the equation crosses the x-axis, and the y-intercept is the point where the graph crosses the y-axis.
To find the x-intercept, you set y equal to zero and solve for x. This means you let y = 0 in the equation and solve for x.
Let's apply this to the given equation: 5y = 15x - 90.
Step 1: Set y = 0.
Now the equation becomes 5(0) = 15x - 90.
Step 2: Simplify the equation.
0 = 15x - 90.
Step 3: Solve for x.
Add 90 to both sides of the equation to isolate the x-term:
90 = 15x.
Divide both sides by 15:
x = 6.
So, the x-intercept is 6.
To find the y-intercept, set x equal to zero and solve for y. This means you let x = 0 in the equation and solve for y.
Step 1: Set x = 0.
Now the equation becomes 5y = 15(0) - 90.
Step 2: Simplify the equation.
5y = 0 - 90.
Step 3: Solve for y.
5y = -90.
Divide both sides by 5:
y = -18.
So, the y-intercept is -18.
Therefore, the x-intercept is 6 and the y-intercept is -18.