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3 years ago

What is the equation of the graph

Mathematics

2 answers:

Mrrafil [7]3 years ago

8 0

To find the equatiom of the graph, we must find the y-intercept and the slope of the line.

Find the y-intercept:

- To find the y-intercept, simply look at the point of where the line crosses the y-axis. In this case, the line seems to cross the point at (0,4), giving the y-intercept of equaling 4.

Find the slope:

- To find the slope of the line, take one of the points and use the "rise/run" method, and find the next consecutive point. In this case, we'll take point (4,1) as an example. The next consecutive point is @ (0,4). So, we'll count 3 units up and 4 units left. So the slope of this line will be -3/4. (It is negative because we counted to the left. However, POSITIVE 3/4 would have left us with an entirely different slope and the line would be structurally different ((Seriously, try it out for yourself, if you don't understand what I am talking about!))).

Now that we have our slope and y-intercept, let's use the slope-intercept form so that we can get our equation.

- Slope-Intercept Form:
• y = mx + b
□ Whereas, "m" equals the slope of the line, and "b" equals the y-intercept of the line.

- Let's plug in the values of the y-intercept and the slope into the equation.

** y = -3/4x + 4 **

So, the equation for this line is "y = -3/4x + 4".

Katen [24]3 years ago

6 0

I assume you want it in slop-intercept form.
y = 3/4x + y-intercept (the graph isn't labeled)
If you just want to find the slope of the graph, it would be 3/4

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