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Alinara [238K]
3 years ago
13

Please help me. I don't know how to find the slope of this graph.

Mathematics
1 answer:
choli [55]3 years ago
6 0

Answer:

3/4

Step-by-step explanation:

We know this is a positive sloe because the line goes up from left to right.

We can pick to points  (0,1) and (4,4)

We can find the slope from

m = (y2-y1)/(x2-x1)

   = (4-1)/(4-0)

   =3/4

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A line contains the points (-3, 4) and (7, -1). Calculate the equation of the line in the form y = mx + b Explain each step.
andre [41]

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-4}{7-(-3)}\implies \cfrac{-5}{7+3}\implies \cfrac{-5}{10}\implies -\cfrac{1}{2}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-\cfrac{1}{2}[x-(-3)]\implies y-4=-\cfrac{1}{2}(x+3) \\\\\\ y-4=-\cfrac{1}{2}x-\cfrac{3}{2}\implies y=-\cfrac{1}{2}x-\cfrac{3}{2}+4\implies y=-\cfrac{1}{2}x+\cfrac{5}{2}

6 0
2 years ago
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yulyashka [42]
I think it’s either a or c
8 0
2 years ago
True or false: when you dilate a figure, the coordinates are multiplied by the scale factor
german

Answer:

True

Step-by-step explanation:

3 0
2 years ago
Consider the quadratic equation x2 − 6x = 16.
e-lub [12.9K]

Answer:

  1. C) (x − 3)2 = 25
  2. C) Factor out 4 from 4x2 + 40x.

Step-by-step explanation:

1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.

___

2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.

Here, that looks like ...

  4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4

  4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation

  4(x +5)² = 180 . . . . . . . . . . . written as a square

8 0
2 years ago
Please help ASAP !!15 points!!
DIA [1.3K]

Answer:

i got 48x as my answer if its wrong sorry

3 0
3 years ago
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