Find three solutions for the linear equation 4x −3y = 1, and plot the solutions as points on a coordinate plane.

Three solutions for the linear equation are: (0, -0.333), (1,1) and (3, 3.667).

The graph is given at the end of this answer.

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The equation is:

In slope-intercept formula, we have that:

Thus, the solutions are given by the following pairs of points:

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For x = 0, we have that , thus, one solution is (0, -0.333).

For x = 1, we have that , thus, one solution is (1,1).

For x = 3, we have that , thus, one solution is (3, 3.667).

These solutions are labeled on the graph given at the end of this answer.

A similar problem is given at link

(1, 1), (2, 2.333) and (3, 3.666).

Step-by-step explanation:

To find solutions for this equation, we can just choose values for x and then calculate the values of y.

So, for x = 1, we have:

4*1 - 3y = 1

3y = 3

y = 1

For x = 2, we have:

4*2 - 3y = 1

3y = 7

y = 2.333

For x = 3, we have:

4*3 - 3y = 1

3y = 11

y = 3.666

The points we need to plot is (1, 1), (2, 2.333) and (3, 3.666).

Check the image attached for the plot.

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: