# How do you use the point on the line and the slope of the line to find three additional points through which the line passes: Point: (7, -2) Slope:m = 1/2?

Here's how you can do that.

All you have to know is that the line's slope contains a set of directions that let you locate additional points that are on the same line by starting from a point that is on the line.

Hence, you are aware that the slope of a certain line is

Here, you've

This implies that you will receive

In the same way, you can also have

Thus, it follows that

Use one of the points to write the line's equation so you can verify the outcome twice.

This is how the line appears.

graph{1/2x - 11/2 [-5, 5, 10, -10]}

As you can see, every point we were able to locate is on the border.

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To find three additional points through which the line passes given a point on the line (7, -2) and the slope (m = 1/2), you can use the slope-intercept form of a linear equation: y = mx + b.

- Substitute the given point's coordinates (7, -2) into the equation to solve for the y-intercept (b).
- Once you find the y-intercept, you will have the equation of the line.
- Use the slope (m) and y-intercept (b) to find three additional points by incrementing or decrementing the x-coordinate from the given point and then using the equation to find the corresponding y-coordinate.

For example:

- Start with the given point (7, -2).
- Use the slope-intercept form to find the y-intercept: y = (1/2)x + b.
- Substitute the given point (7, -2) into the equation: -2 = (1/2)(7) + b.
- Solve for b to find the y-intercept.
- Once you have the equation of the line, increment or decrement the x-coordinate by a certain value (e.g., 1) and use the equation to find the corresponding y-coordinate.
- Repeat this process to find three additional points on the line.

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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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