Question

Find the slope of the line that passes through the points shown in the table.

The slope of the line that passes through the points in the table is what?

Answer 1

Answer-

The slope of the line that passes through the points is $-\dfrac{2}{7}$

Solution-

As there is a single line passing through all these points, so taking any two points and then applying the formula for slope will give the slope of the line.

The points are,

(-14, 8), (-7, 6), (0, 4), (7, 2), (14, 0)

Taking two points as, (0, 4), (7, 2)

$m=\dfrac{y_2-y_1}{x_2-x_1}$

x₁ = 0

y₁ = 4

x₂ = 7

y₂ = 2

Putting the values,

$m=\dfrac{2-4}{7-0}$

$=-\dfrac{2}{7}$

Therefore, the slope of the line that passes through the points is $-\dfrac{2}{7}$

Answer 2

The slope of the line that passes through the points in the given table is;

m = -2/7

We are given x-coordinates and their corresponding y-coordinates.

The formula to find the slope between 2 coordinates of a line is given by;

m = (y₂ - y₁)/(x₂ - x₁)

Let us take the third and fourth coordinates of the graph which are;

(0, 4) and (7, 2). Thus the slope is;

m = (2 - 4)/(7 - 0)

m = -2/7

Thus, in conclusion, the slope of the line that passes through the points in the table is -2/7

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