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pantera1 [17]
3 years ago
13

Find the slope of the function in the table

Mathematics
1 answer:
Alex17521 [72]3 years ago
6 0

Answer:

slope = -6

Step-by-step explanation:

slope formula: \frac{y2-y1}{x2-x1}

To find the slope, take two points from the table(in this example I'll use points (0,0) and (-2, 12)) and input them into the slope formula:

(0, 0) = (x1, y1)

(-2, 12) = (x2, y2)

\frac{12-0}{-2-0}

Simplify:

12 - 0 = 12

-2 - 0 = -2

\frac{12}{-2}=-\frac{6}{1}=-6

The slope of the function in the table is -6.

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Pls help i will give u brianliest
Fynjy0 [20]

Answer:

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

Step-by-step explanation:

We can take any two input-output pairs from the table to find the equation of given function.

Linear function is given by:

y =mx+b

Here m is the gradient of the functions which is defined as:

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

The input-output pairs are:

(x1,y1) = (-1,-1)

(x2,y2) = (0,-4)

First of all,

m = \frac{-4-(-1)}{0-(-1)}\\= \frac{-4+1}{1} = -3

Putting the value of slope in the equation

y = -3x+b

Putting (-1,-1) in the equation

-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4

The equation will be:

y = -3x-4

Hence,

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

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