Question

Graph the function and answer each of the following questions. f(x)=-3x+5 What is the y-intercept? What is the slope (in fraction form)? Is your slope positive or negative? Explain how you plotted your second point.

Answer 1

Explanation:

Answer:

(i)

y-intercept is 5

(ii)

slope is
`(-3)/(1)`

(iii)

slope is negative

(iv)

another point is (3,-4)

Explanation:

We are given equation as

`f(x)=-3x+5`

now, we can compare it with slope intercept form of line

y=mx+b

where

m is slope

b is y-intercept

we get

`m=(-3)/(1)`

`b=5`

So,

(i)

y-intercept is 5

(ii)

slope is
`(-3)/(1)`

(iii)

we can see that

`m=(-3)/(1)`

is a fraction and negative

so, slope is negative

(iv)

we can select any random value of x and find y

that will give us second point

Let's assume

x=3

`y=(-3)/(1)* 3+5`

`y=-9+5`

`y=-4`

So, another point is (3,-4)

(v)

Graph:

Answer 2

The slope is -3 and the y intercept is 5

The y intercept is 5

The slope in fraction form is -3/1

The slope is negative

Explanation:

f(x) = -3x+5

This is written in the form y=mx+b where m is the slope and b is the y intercept

The slope is -3 and the y intercept is 5

The y intercept is 5

The slope in fraction form is -3/1

The slope is negative

The first point plotted is the y intercept (0,5) The y intercept is where x =0

The second point is from the slope. The slope is the change in y over the change in x. We go down 3 ( since the 3 is negative) and to the right 1 (since it is positive) (1,2)