# How do you write an equation in point-slope form for the given (-4,-1) and (2,-1)?

*An easier way to do this problem is to first notice that (-4,-1) and (2,-1) lie on the same line already, since both y values equal to -1, meaning there's no slope.

We can graph it out on a calculator or online to see how this works. Here's one that I did on Desmos!

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To write an equation in point-slope form using two given points, you need to find the slope (m) first, then choose one of the points to substitute into the point-slope formula.

Step 1: Find the slope (m) using the formula:

[ m = \frac{y_2 - y_1}{x_2 - x_1} ]

Given points: (-4, -1) and (2, -1) [ m = \frac{-1 - (-1)}{2 - (-4)} ] [ m = \frac{0}{6} ] [ m = 0 ]

Step 2: Choose one of the points to substitute into the point-slope formula, along with the slope (m).

Let's choose the point (-4, -1).

Step 3: Write the point-slope form equation using the chosen point and the slope:

[ y - y_1 = m(x - x_1) ]

Substitute the values: [ y - (-1) = 0(x - (-4)) ] [ y + 1 = 0(x + 4) ]

Simplify: [ y + 1 = 0 ]

Therefore, the equation in point-slope form for the given points (-4, -1) and (2, -1) is:

[ y + 1 = 0 ]

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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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- What is the slope of a line that is perpendicular to a slope of 1/2?
- Which equation represents the line that passes through the points (1, 1) and (-2, 7)?
- The graph of a linear equation contains the points (3, 11), and (-2, 1). Which points also lies on the graph?

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