Graph y = 4x-9 please

We want to graph the line y = 4*x - 9.

The graph can be seen at the end of the answer.

To graph a given linear function, we need to find two points that belong to the function, and then connect them with a line.

To find the points we just evaluate the function in two different values of x, so let's do that.

For x = 0 we have:

y = 4*0 - 9 = -9

Then we have the point (0, -9)

For x = 1 we have:

y = 4*1 - 9 = 4 - 9 = -5

Then we have the point (1, -5)

Now we just can graph these two points on a coordinate axis, and connect them with a line.

The graph is shown below

If you want to learn more, you can read:

link

Step-by-step explanation:

Just take two random points, always remember ,take x=0 and find his correspondent y

in this case y=4*0-9=-9

first point (0,-9)

second one:

take any x you want, I took 2 randomly, and y will be

y=4*2-9=8-9=-1

second point is (2,-1)

find these points on graph and connect them with a ruler ! And that is the line you are searching for!

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

where is the graph

step-by-step explanation: