Question

Which equation represents the linear function that is shown on the graph below?

y = one-half x + 4
y = one-half x minus 2
y = 4 x minus 2
y = negative 2 x + 4

Answer 1

C

Explanation:

hope this helps!

Answer 2

A=(4,0) and B = (6,1)

We can find the slope with this formula:

`m =(y_2 -y_1)/(x_2 -x_1)`

And replacing we got:

`m= (1-0)/(6-4)= (1)/(2)`

Now we can find the y intercept using one of the points like this:

`0 = (1)/(2) *4 +b`

And then b would be:

`b = -2`

And the equation would be given by:

`y= (1)/(2)x -2`

And the best option is:

y = one-half x minus 2

Explanation:

In order to find the equation for the line we can use two points and let's take:

A=(4,0) and B = (6,1)

We can find the slope with this formula:

`m =(y_2 -y_1)/(x_2 -x_1)`

And replacing we got:

`m= (1-0)/(6-4)= (1)/(2)`

Now we can find the y intercept using one of the points like this:

`0 = (1)/(2) *4 +b`

And then b would be:

`b = -2`

And the equation would be given by:

`y= (1)/(2)x -2`

And the best option is:

y = one-half x minus 2