Question

Does anyone know the equation to this graph

Answer 1

Answer: The equation of this graph can be written in slope intercept form which is what I am assuming you want. If you do not want that form you can convert to any other form that you so desire. The slope intercept equation for this graph would be y = -1x - 2. The -1 is the slope of the line and the -2 is the y intercept.

Answer 2

y = -x - 2

Explanation:

You can start with the equation of a line in the slope-intercept form.

y = mx + b

m = slope

b = y-intercept

Look at the graph to find the y-intercept. At what point on the y-axis does the graph intersect the y-axis? Answer: -2. The y-intercept is -2. The value of b is -2.

Now we hjave

y = mx + (2)

or simply

y = mx - 2

Now we need to find the slope.

The slope is the ratio of the rise (difference in y) over the run (difference in x).

Look at the point (6, -7) that is shown in your graph. Go up 1 unit vertically. That is a rise of 1. Now go left 1 unit horizontally. That is a run of -1.

slope = m = rise/run = 1/(-1) = 1

The slope is 1. Now we replace m with -1.

y = mx - 2

y = -1x - 2

y = x - 2

Answer: y = -x - 2