$$ \mathrm{m}=\frac{\mathrm{y}_{2}-\mathrm{y}_{1}}{x_{2}-x_{1}} $$ Find the slope of the line that passes through these two points. $$ (-1,-2) \quad(-4,-1) $$ Enter the correct symbol, + or - $$ \mathrm{m}=[?] \frac{[]}{[]} $$

Question

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(-1-\left(-2\right)\right)}{\left(-4-\left(-1\right)\right)}$$
- step1: Remove the parentheses:
  $$\frac{-1-\left(-2\right)}{-4-\left(-1\right)}$$
- step2: Remove the parentheses:
  $$\frac{-1-\left(-2\right)}{-4+1}$$
- step3: Remove the parentheses:
  $$\frac{-1+2}{-4+1}$$
- step4: Add the numbers:
  $$\frac{1}{-4+1}$$
- step5: Add the numbers:
  $$\frac{1}{-3}$$
- step6: Rewrite the fraction:
  $$-\frac{1}{3}$$
To find the slope $$ m $$ of the line that passes through the points $$ (-1, -2) $$ and $$ (-4, -1) $$, we can use the formula:

$$
m = \frac{y_2 - y_1}{x_2 - x_1}
$$

Here, we assign:
- $$ (x_1, y_1) = (-1, -2) $$
- $$ (x_2, y_2) = (-4, -1) $$

Now, substituting the values into the formula:

$$
m = \frac{-1 - (-2)}{-4 - (-1)} = \frac{-1 + 2}{-4 + 1} = \frac{1}{-3}
$$

Thus, the slope $$ m $$ can be expressed as:

$$
m = -\frac{1}{3}
$$

So, the final answer is:

$$
\mathrm{m} = - \frac{1}{3}
$$

In the required format:

$$
\mathrm{m} = [-] \frac{[1]}{[3]}
$$
$$ \mathrm{m} = -\frac{1}{3} $$

Find the slope of the line that passes
through these two points.

Enter the correct symbol, + or -

Upstudy AI Solution

Answer

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Find the slope of the line that passes through these two points. Enter the correct symbol, + or -