Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Input the equation of the given line.

The line including (4, 7) and (0, 7).

Answer 1

Answer:

$y=7$

Step-by-step explanation:

First, let's use the two given points to find the slope. Remember the slope equation:

$m=\frac{y2-y1}{x2-x1}$

$m=\frac{7-7}{0-4}$

$m=\frac{0}{-4}$

$m=0$

If we're following slope-intercept form, what we have so far is

$y=0x+b$

Substitute one of the given points for the $x$ and $y$ values in order to find $b$:

$7=0(4)+b$

$7=b$

Now, if we put that back into our slope-intercept equation we get

$y=0x+7$

or,

$y=7$

Right off the bat, we can see how we ended up with this equation because both points have the same y-values. This indicates a horizontal line.

I hope this helps!