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earnstyle [38]
3 years ago
10

Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.

Mathematics
1 answer:
Andreyy893 years ago
7 0

Answer:

1

Step-by-step explanation:

Slope (m) of the line can be derived using the following formula below:

m = \frac{y2 - y1}{x2 - x1}

To solve this, we can pick any two points on the line, and use the coordinates of the points to solve for the slope (m) of the line.

To find the slope (m) of the line given, let's use the coordinates of the points where the line intercepts the y-axis and the x-axis.

Thus, when x = 0, y = 3. Let's make this the first pair of coordinates at the point where the line intercepts the y-axis.

At the point where the line intercepts the x-axis, when x = -3, y = 0.

We now have the following points => in the following format (x, y) as:

Point 1 => (0, 3). Let this be (x1, y1)

Point 2 => (-3, 0). Let this be (x2, y2)

==>Let's find slope (m):

m = \frac{y2 - y1}{x2 - x1}

m = \frac{0 - 3}{-3 - 0}

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

m = 1

Slope (m) = 1

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The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f.
viktelen [127]

f(c + a) = 2.1 c + 2.1 a - 1.7

f(1/3 x - 2/3) = 0.7 x - 3.1

f(x + 2) = 2.1 x + 2.5

f(3c) = 6.3 c - 1.7

Step-by-step explanation:

The function is f(x) = 2.1 x - 1.7

We need to use this formula to find

  • f(c + a)
  • f(1/3x - 2/3)
  • f(x + 2)
  • f(3c)

To solve the problem substitute x by each value in the bracket

∵ f(x) = 2.1 x - 1.7

f(c + a) means substitute x by c + a

∵ x = c + a

∴ f(c + a) = 2.1(c + a) - 1.7

- Multiply the bracket by 2.1

∴ f(c + a) = 2.1 c + 2.1 a - 1.7

∵ f(x) = 2.1 x - 1.7

- f(1/3 x - 2/3) means substitute x by 1/3 x - 2/3

∵ x = 1/3 x - 2/3

∴ f(1/3 x - 2/3) = 2.1(1/3 x - 2/3) - 1.7

- Multiply the bracket by 2.1

∴ f(1/3 x - 2/3) = 0.7 x - 1.4 - 1.7

- Add the like terms

∴ f(1/3 x - 2/3) = 0.7 x - 3.1

∵ f(x) = 2.1 x - 1.7

- f(x + 2) means substitute x by x + 2

∵ x = x + 2

∴ f(x + 2) = 2.1(x + 2) - 1.7

- Multiply the bracket by 2.1

∴ f(x + 2) = 2.1 x + 4.2 - 1.7

- Add the like terms

∴ f(x + 2) = 2.1 x + 2.5

∵ f(x) = 2.1 x - 1.7

- f(3c) means substitute x by 3c

∵ x = 3c

∴ f(3c) = 2.1(3c) - 1.7

- Multiply 2.1 by 3c

∴ f(3c) = 6.3 c - 1.7

Learn more:

You can learn more about the functions in brainly.com/question/628130

#LearnwithBrainly

3 0
2 years ago
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