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Serjik [45]
3 years ago
12

-6, -6) and (-2, -2) Find the rate of change of the line that passes through the points.

Mathematics
1 answer:
Kamila [148]3 years ago
5 0

Rate of change of line that passes through the given points is 1

Step-by-step explanation:

The ratio of vertical and horiontal changes is called the rate of change of a line. It is called slope which is denoted by m.

The formula for slope when (x1,y1) and (x2,y2) are the points on line is given by:

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

Given

(x1,y1) = (-6,-6)

(x2,y2) = (-2,-2)

Putting the values in the formula

m = \frac{-2-(-6)}{-2-(-6)}\\=\frac{-2+6}{-2+6}\\=\frac{4}{4}\\= 1

Rate of change of line that passes through the given points is 1

Keywords: Slope, rate of change

Learn more about rate of change at:

  • brainly.com/question/10708697
  • brainly.com/question/10710410

#LearnwithBrainly

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Which of the following describes the graph of 2x + 4y < 16?
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<h3>Answer: A) Dashed line, shaded below</h3>

=============================================================

Explanation:

2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).

The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16

To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".

We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.

---------------------

Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.

Plug those coordinates into either equation. I'll pick the second equation

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So this is another way to see that the shaded region is below the boundary line.

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Answer:

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