Determine the equation of the line
need quick

y = x - 4

Step-by-step explanation:

To find the equation you need the slope and to find the slope you need two points.  Let's use the x and y intercept, or in other words when x=0 and when y = 0.

The two points are (0, -4) and (4,0)  let me know if you don't understand how I found those.

Now, the slope is taking the difference of the two y values and dividing that by the the difference of the x values.  You use the formula (y2 - y1)/(x2-x1) where the points (x1, y1) and (x2, y2) represent the two points.  Make sure you keep the coordinates in the right order.  so whichever you choose to be (x1, y1)  needs to have the x and y value on the right side of the minus signs.

I am going to choose (x1, y1) = (0, -4) and (x2, y2) = (4,0), you could do the opposite though.

(y2 - y1)/(x2-x1)

(0 - -4)/(4 - 0)

(0 + 4)/(4-0)

4/4

1

so the slope is 1, the slope is labeled m in an equation.

Now, to get the function you use the equation (y-y1) = m(x-x1).  You can use any point in this one for (x1,y1), to show this I am going to use what I used as (x2, y2) in the last step, so (4,0)

(y-y1) = m(x-x1)

y-0 = 1(x-4)

y = 1x - 1*4

y = x - 4

And this is the slope intercept form

a - base

b - exponent

so,

idk