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MrMuchimi
3 years ago
12

Find the slope of the straight line that passes through (–2, –4) and (3, –5)

Mathematics
2 answers:
Mrac [35]3 years ago
7 0

For this case we have by definition, that the slope of a line is given by:

 the following formula:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Having two points through which the line passes:

(x_ {1}, y_ {1}): (- 2, -4)\\(x_ {2}, y_ {2}) :( 3, -5)

Substituting:

m = \frac {-5 - (- 4)} {3 - (- 2)}\\m = \frac {-5 4} {3 2}\\m = \frac {-1} {5}

Finally, the slope of the line is:

m = - \frac {1} {5}

Answer:

m = - \frac {1} {5}

KIM [24]3 years ago
3 0

Answer:

YOur answer would be -1/5.

Step-by-step explanation

rise/run

-4--5/-2-3

=-1/5

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A line intersects the points(-22,-14) and (-18,-12). What is the slope-intercept equation for this line?
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Hello there,

Well we are going to start off with the equation to find the slope based on the given points:

                                                    \frac{y_{2} - y_{1}  }{x_{2} -x_{1} }

Now using the two given points we are going to plug in and solve:

                                         \frac{(-12)-(-14)}{(-18)-(-22)} = \frac{2}{4} = \frac{1}{2}

From this you know that \frac{1}{2} is the slope of the equation. However, to find the y-intercept we are going to use y = mx+ b and plug in one of the points to solve:

                                        (-14) = \frac{1}{2} (-22) + b

                                        (-14) = (-11) + b

                                         -3 = b

That means that the y-intercept is at (0, -3). Lastly, we are just going to plug all this into the slope-intercept form:

                                       y = \frac{1}{2} - 3

Hope I helped,

Amna

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Answer:

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