In this blog we are going to tell you about Which equation represents the graphed function, so read this blog carefully to get the complete information.
a. y= -3x + 3
b. y= 3x – 3
c. y = 3x – 1/3
d. y = -1/3x + 3
e. None
Answer: (d.) -1/3x + 3
About the question
In this question, we have to identify the equation which represents the graph function. So you have to find out the equation by the general equation of the straight line which is given by y = mx+b. In this general equation, the m is the slope or gradient between two points and b is the value where the line cuts the y-axis. So let’s understand how we will get the question of the line when the coordinates or points of the line are given.
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Answer Explanation:
Let’s understand the step-by-step process of forming an equation. In this question, we have given the coordinates of the graph that is (0,3) and (3,2). To find the equation of a line by using the given coordinates, we first need to find the slope between the given points.
So the slope between two points is given by-
Slope (m) = y2 – y1/x2 – x1
This implies- (x1,y1) = (0,3) and (x2,y2) = (3,2)
m = 2-3 / 3-0
m= -1/3
Now, as we have the first point (0,3) which represents the y intercept at 3, we can apply the slope-intercept form y = mx+b. We get,
y = -1/3x + 3
So that’s how we get the correct equation that represents the graphed function.
Conclusion
So the method of finding the equation of a line or graph function is by the help of gradient m and intercept b on the y-axis. This equation is in the form of y = mx+b. We hope now you have got your answer and you have understood the solving process as well.
We Hope this blog is sufficient enough to provide the information about Which equation represents the graphed function. Thanks for reading this blog.