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3 years ago

What is the slope of the graph?

Mathematics

1 answer:

Nookie1986 [14]3 years ago

4 0

Answer: The slope is $\frac{3}{5}$

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

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

Observe the graph provided in the exercise.

You can notice that these two points are on the line:

$(2,3)$ and $(7,6)$

Then you can identify that:

$y_2=3\\y_1=6\\\\x_2=2\\x_1=7$

Knowing these coordinates, you can substitute values into the formula for calculate the slope.

Then, you get that the slope of the graph is:

$m=\frac{3-6}{2-7}\\\\m=\frac{-3}{-5}\\\\m=\frac{3}{5}$

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Answer/Step-by-step explanation:

The equation of the line that passes through the two points would be correct if each point, when substituted into the equation, satisfy the equation.

This is what I mean:

Given the equation of the line, y = 2x - 5, and the two points (-2, -9) and (3, 1):

For the first point, substitute x = -2, and y = -9 into y = 2x - 5.

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For the second point, substitute x = 3, and y = 1 into y = 2x - 5

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