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tatyana61 [14]
4 years ago
15

What is the slope of the line that is represented by the values in the table above?

Mathematics
1 answer:
denpristay [2]4 years ago
5 0

Answer:

slope (m) = 6

Step-by-step explanation:

To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.

Let's use, (-1, 0), and (0, 6).

Apply the formula, \frac{y_2 - y_1}{x_2 - x_1}, where,

(-1, 0) = (x_1, y_1)

(0, 6) = (x_2, y_2)

Thus:

m = \frac{6 - 0}{0 - (-1)}

m = \frac{6}{1}

slope (m) = 6

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Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?
mihalych1998 [28]

Answer:

Step-by-step explanation:

The general formula of the linear equation is:

y = mx + c 

where m is the slope and c is the y-intercept

1- getting the slope:

We are given the two points:

(6,10) representing (x1 , y1)

(12,7) representing (x2 , y2)

The slope of the line will be calculated as follows:

m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5

The equation of the line now becomes:

y = -0.5x + c

2- getting the value of the y-intercept:

To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:

y = -0.5x + c

10 = -0.5(6) + c

10 = -3 + c

c = 13

Based on the above, the equation of the line would be:

y = -0.5x + 13

Hope this helps :)

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Answer:

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