an graph that represents this equation y=2.5x-5/y=-0.75x+3

Answer 1

To plot the graph for the equations y = 2.5x - 5 and y = -0.75x + 3, we need to determine the x and y coordinates that satisfy these equations.

Starting with the first equation, y = 2.5x - 5:
Choose some x values and substitute them into the equation to find the corresponding y values. For example, when x = 0, y = 2.5(0) - 5 = -5. So we have one point (0, -5).

Similarly, when x = 2: y = 2.5(2) - 5 = 0. So another point is (2, 0).

For the second equation, y = -0.75x + 3:
When x = 0, y = -0.75(0) + 3 = 3. So we have the point (0, 3).

When x = 4: y = -0.75(4) + 3 = 0. So another point is (4, 0).

Plotting these points on the coordinate plane and drawing a line passing through them gives the graph of the two equations.

Here is a visual representation of the graph:

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4 |
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1 |
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0 +_________________________________
0 1 2 3 4 5 6 7 8 x

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6 |
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5 | .
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4 | .
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0 +_________________________________
0 1 2 3 4 5 6 7 8 x

The red line represents the equation y = 2.5x - 5, and the blue line represents the equation y = -0.75x + 3.