What are the intercepts in the equation 3x-5y=15
Question 7 options:
The x-intercept is -5 and the y-intercept is 3
The x-intercept is 3 and the y-intercept is -5
The x-intercept is -3 and the y-intercept is 5
The x-intercept is 5 and the y-intercept is -3
To find the x-intercept, let y = 0 and solve for x:
3x - 5(0) = 15
3x = 15
x = 5
So the x-intercept is 5.
To find the y-intercept, let x = 0 and solve for y:
3(0) - 5y = 15
-5y = 15
y = -3
So the y-intercept is -3.
Therefore, the correct answer is: The x-intercept is 5 and the y-intercept is -3.
To find the x-intercept, we set y = 0 and solve for x.
Let's substitute y = 0 into the equation:
3x - 5y = 15
3x - 5(0) = 15
3x = 15
x = 15/3
x = 5
Therefore, the x-intercept is 5.
To find the y-intercept, we set x = 0 and solve for y.
Let's substitute x = 0 into the equation:
3x - 5y = 15
3(0) - 5y = 15
-5y = 15
y = 15/-5
y = -3
Therefore, the y-intercept is -3.
So, the correct answer is: The x-intercept is 5 and the y-intercept is -3.
To find the intercepts in the equation 3x - 5y = 15, we can substitute 0 for one variable at a time to solve for the other variable.
1. To find the x-intercept, we set y = 0 and solve for x.
3x - 5(0) = 15
3x = 15
x = 15 / 3
x = 5
2. To find the y-intercept, we set x = 0 and solve for y.
3(0) - 5y = 15
-5y = 15
y = 15 / -5
y = -3
Therefore, the x-intercept is 5 and the y-intercept is -3. So, the correct option is: The x-intercept is 5 and the y-intercept is -3.