Plot the x- and y-intercepts to graph the equation. y = 1/3x − 1

Mathematics

2 answers:

Trava [24]3 years ago

8 0

If you have questions, feel free to ask

otez555 [7]3 years ago

7 0

Answer: The x-intercept and y-intercept are 3 and -1 respectively.

Step-by-step explanation: We are given a linear equation and we are plot the graph using x-intercept and y-intercept.

The given linear equation is

$y=\dfrac{1}{3}x-1.$

Here, y-intercept is - 1. So, a point on the graph will be (0,-1).

We can also write the given equation in the following form

$\dfrac{1}{3}x=y+1\\\\\Rightarrow x=3y+3.$

Therefore, x-intercept is 3 and the other point will be B(3,0).

Plotting these two on a graph paper and joining, we will get the graph of the given linear equation. Please see the attached figure.

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