# How do you find the x and y intercepts and slope if they exist and graph the line -2x + 7y = 14?

The x intercept is where

For the slope and y intercept we write

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Slope:

To find the intercepts, set one of the coordinates to zero and solve for the other:

To find the slope, it is convenient to write the equation in the form

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To find the x-intercept:

- Set y = 0 in the equation: -2x + 7(0) = 14.
- Solve for x: -2x = 14.
- Divide both sides by -2: x = -7.

To find the y-intercept:

- Set x = 0 in the equation: -2(0) + 7y = 14.
- Solve for y: 7y = 14.
- Divide both sides by 7: y = 2.

To find the slope:

- Rewrite the equation in slope-intercept form: y = mx + b.
- Solve for y: 7y = 2x + 14.
- Divide both sides by 7: y = (2/7)x + 2.
- The slope, m, is the coefficient of x: m = 2/7.

To graph the line:

- Plot the x-intercept (-7, 0) and the y-intercept (0, 2).
- Use the slope to find additional points if needed.
- Draw a straight line through the points to represent the graph of the equation.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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