Question

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

Answer 1

Answer:

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.

Step-by-step 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,

⇒  $m=\frac{(y_1-y)}{(x-x_1)}$

Plugging the values.

⇒ $m=\frac{(y_1-y)}{(x-x_1)}=\frac{3-(-3)}{3-0} =\frac{6}{3}=2$

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.