Question

What is the slope-intercept form of the function described by this table?

Answer 1

Do you know what the slope intercept form is?

Answer 2

Slope-Intercept Form is y = mx + b

Answer 3

So what we need to do is, is to get the needed information and convert it into the slope-intercept form.

Answer 4

First we should start with the slope itself.

Take any two points in the function and solve for them

Remember, the formula for slope is:

\[m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }\]

Answer 5

I'm going to take (3, -5) and (4, -8)

\[(x_{1}, y_{1}) and (x_{2}, y_{2})\]

Input that into our formula for slope and we get

\[m = \frac{ -8 -(-5) }{ 4 - 3 } = \frac{ -3 }{ 1 }\]

Answer 6

So our slope is -3/1

Input that into our formula and we have

y = -3/1x + b

Answer 7

*slope intercept form

Answer 8

Now we just have to find b

If you don't know already

m = slope
b = y intercept

The y intercept is the point in which the slope crosses the y axis.

Answer 9

@Mikael1465 Haha are you even there? :P

Answer 10

Yeah, im here.

Answer 11

Continue.

Answer 12

Do you understand everything so far though?

Answer 13

Yeah.

Answer 14

Continue.

Answer 15

@ShadowLegendX You there?

Answer 16

Sorry, connection issues

Answer 17

Anyway, since it doesn't represent the y-intercept by showing it on the graph, I had to find it algebraically using the slope-intercept formula

Answer 18

y = mx + b

y = -3/1x + b

Answer 19

I inputted one of the points

1 = -3/1(1) + b

Solve for b and got

4 = b

The y intercept is (0,4)

Answer 20

Always remember to represent the y-intercept as (0,b) , that is it's correct form

Answer 21

So when we complete our y-intercept formula we have:

y = -3/1x + 4

Answer 22

In the formula you just have to show it as b, as it doesn't as for (x,b) , but on tests that ask you directly what the y intercept is, put (0,b) .

Answer 23

ask*

Answer 24

Any questions or need any further help?