Write an equation of the line passing through each of the following pairs of points: (−10, 4), (2, −5)

Step-by-step explanation:

To find the equation of a line that passes through the points (-10, 4) and (2, -5), let's first find the slope.

The formula for slope is:

Let's let (-10, 4) be (x₁, y₁) and let's let (2, -5) be (x₂, y₂). Substitute this into the slope formula:

Simplify:

Add or subtract:

Reduce:

Now that we know the slope, we can use the point-slope form to find the equation of our line. The point-slope form is:

Where m is the slope and (x₁, y₁) is a point.

Let's substitute -3/4 for m. Let's also use (-10, 4) be (x₁, y₁) for consistency. So:

Simplify:

Distribute:

Add 4 to both sides:

Add:

Reduce:

And that's our equation.

And we're done!

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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step-by-step explanation: