Question

And these..............

Answer 1

Y-intercept of the table = -3 and y-intercept of the graph is = -1.

Intercept of the graph is greater than the intercept of the table.

Explanation:

Part (a).

To find the intercept of the table we have to choose two points.

Let
`(x,y)=(0,-3)` and
`(x_1,y_1)=(3,3)`

Using point intercept form we will calculate the slope(m).

`y_1-y=m(x-x_1)`

So,

⇒
`m=((y_1-y))/((x-x_1))`

Plugging the values.

⇒
`m=((y_1-y))/((x-x_1))=(3-(-3))/(3-0) =(6)/(3)=2`

Using slope-intercept form we can calculate the y-intercept.

Slope intercept form
`y=m(x)+b`

Y-intercept =
`b`

Then,
`b=y-m(x)`

Plugging the values of
`(x_1,y_1)=(3,3)` in slope intercept form.

We have,

`b=y-m(x) =3-2(3)=3-6=-3`

Y-intercept of the values given in the table = -3.

Part (b).

Y-intercept of the graph can be calculated by following the above procedure or simply just by looking onto it.

As the graph is passing through y = -1,so y-intercept of the graph = -1.

Y-intercept of the graph is greater than the y-intercept of the table values.