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# Graphing Linear Equations Practice Questions

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Updated on Oct 3, 2011

To review these concepts, go to Graphing Linear Equations Study Guide.

## Graphing Linear Equations Practice Questions

### Practice

Graph each equation.

1. y = x + 4
2. y = –3x + 1
3. y = – 3
4. y = + 6

### Solutions

1. To graph the line y = x + 4, start with an input/output table. Choose two negative numbers, two positive numbers, and 0 as the x-values:

Plot these points on the graph. The first two points, (–2,2) and (–1,3), will be in quadrant II, because the x values are negative and the y values are positive. The last two points, (1,5) and (2,6) will be in quadrant I, because the x and y values are positive. Connect the dots to form the line y = x + 4.

2. To graph the line y = –3x + 1, start with an input/output table. Choose two negative numbers, two positive numbers, and 0 as the x-values:

Plot these points on the graph. The first two points, (–2,7) and (–1,4), will be in quadrant II, because the x values are negative and the y values are positive. The last two points, (1,–2) and (2,–5), will be in quadrant IV, because the x values are positive and the y values are negative. Connect the dots to form the line y = –3x + 1.

3. To graph the line y = – 3, start with an input/output table. Choose x values that are even, so that the y values will be integers:

Plot these points on the graph. The first two points, (–4,–5) and (–2,–4), will be in quadrant III, because the x and y values are negative. The last two points, (2,–2) and (4,–1), will be in quadrant IV, because the x values are positive and the y values are negative. Connect the dots to form the line y = – 3.

4. To graph the line y = + 6, start with an input/output table. Choose x-values that are multiples of 4, so that the y values will be integers:

Plot these points on the graph. The second point, (–4,3), will be in quadrant II, because the x value is negative and the y value is positive. The last two points, (4,9) and (8,12), will be in quadrant I, because the x and y values are positive. Connect the dots to form the line y = + 6.

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