Question

Create a linear equation that satisfies conditions.Type your equation in the form y = mx + b if a value is not an integer then type it in as a decimal rounded to the nearest hundredth.

Answer 1

Part a

For the first part we have two points (2,4) and (4,10)

We can find the slope like this:

`m=(10-4)/(4-2)=(6)/(2)=3`

And then the intercept would be:

4= 3*2 +b

b= 4-6= -2

Then the answer is:

y= 3x -2

Part b

f(-4)=18 and f(4) =2

The slope is:

`m=(18-2)/(-4-4)=-2`

2= -2*4 +b

b= 2+8=10

y= -2x+10

Part c

x intercept at (-5,0) and the y intercept (0,4)

`m=(4-0)/(0+5)=(4)/(5)`

And using the y intercept we have:

4= 4/5*0 +b

b= 4

y= 4/5x +4