Question

Without drawing the graph, find the coordinates of its intersection with the x- and y-axes. y=−0.7x−28

Answer 1

y-intercept is -28 and x-intercept is -40.

Explanation:

The given equation is

`y=-0.7x-28`

Substitute x=0 in the given equation to find the y-intercept.

`y=-0.7(0)-28`

`y=0-28`

`y=-28`

Therefore, y-intercept is -28.

Substitute y=0 in the given equation to find the x-intercept.

`0=-0.7x-28`

`0.7x=-28`

`x=(-28)/(0.7)`

`x=-40`

Therefore, x-intercept is -40.

Answer 2

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).