Respuesta :
We are given linear equation y=−0.7x−28.
We need to find the coordinates of its intersection with the x- and y-axes.
Note: The coordinate at which line intersect x-axis is called x-intercept and The coordinate at which line intersect y-axis is called y-intercept.
In order to find y-intercept, we need to plug x=0 and solve for y.
Plugging x=0
y= −0.7(0)−28 = 0-28 = -28.
Therefore, the coordinate where line intersect y-axis is (0,-28).
In order to find x-intercept, we need to plug y=0 and solve for x.
Plugging y=0
0 = −0.7x−28
Adding 28 on both sides, we get
0+28 = −0.7x−28+28
28 = -0.7x
Dividing both sides by -0.7, we get
x=40.
Therefore, the coordinate where line intersect x-axis is (40,0).
Answer:
y-intercept is -28 and x-intercept is -40.
Step-by-step explanation:
The given equation is
[tex]y=-0.7x-28[/tex]
Substitute x=0 in the given equation to find the y-intercept.
[tex]y=-0.7(0)-28[/tex]
[tex]y=0-28[/tex]
[tex]y=-28[/tex]
Therefore, y-intercept is -28.
Substitute y=0 in the given equation to find the x-intercept.
[tex]0=-0.7x-28[/tex]
[tex]0.7x=-28[/tex]
[tex]x=\dfrac{-28}{0.7}[/tex]
[tex]x=-40[/tex]
Therefore, x-intercept is -40.
