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

Answer:

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

We can find the slope with this formula:

$m =\frac{y_2 -y_1}{x_2 -x_1}$

And replacing we got:

$m= \frac{1-0}{6-4}= \frac{1}{2}$

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

$0 = \frac{1}{2} *4 +b$

And then b would be:

$b = -2$

And the equation would be given by:

$y= \frac{1}{2}x -2$

And the best option is:

y = one-half x minus 2

Step-by-step 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:

$m =\frac{y_2 -y_1}{x_2 -x_1}$

And replacing we got:

$m= \frac{1-0}{6-4}= \frac{1}{2}$

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

$0 = \frac{1}{2} *4 +b$

And then b would be:

$b = -2$

And the equation would be given by:

$y= \frac{1}{2}x -2$

And the best option is:

y = one-half x minus 2

Answer 2

Answer:

C

Step-by-step explanation:

hope this helps!