For question 2, find the x- and y-intercept of the line.
5x + 4y = 80
(1 point)
Responses
x-intercept is 4; y-intercept is 5.
x -intercept is 4 ; y -intercept is 5.
x-intercept is 20; y-intercept is 16.
x -intercept is 20; y -intercept is 16.
x-intercept is 5; y-intercept is 4.
x -intercept is 5; y -intercept is 4.
x-intercept is 16; y-intercept is 20.
The x-intercept is when the y-coordinate is equal to zero. To find the x-intercept, we set y = 0 and solve for x:
5x + 4(0) = 80
5x = 80
x = 16
So the x-intercept is 16.
The y-intercept is when the x-coordinate is equal to zero. To find the y-intercept, we set x = 0 and solve for y:
5(0) + 4y = 80
4y = 80
y = 20
So the y-intercept is 20.
Therefore, the correct answer is:
x-intercept is 16; y-intercept is 20.
To find the x-intercept and y-intercept of the line 5x + 4y = 80, we need to set one of the variables to 0 and solve for the other variable.
To find the x-intercept, we set y = 0:
5x + 4(0) = 80
5x = 80
Dividing both sides by 5:
x = 16
So the x-intercept is 16.
To find the y-intercept, we set x = 0:
5(0) + 4y = 80
4y = 80
Dividing both sides by 4:
y = 20
So the y-intercept is 20.
Therefore, the correct answer is: x-intercept is 16; y-intercept is 20.