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What is the slope of the blue line

What Is The Slope Of The Blue Line class=

Sagot :

limint602

Hello there!

To find the slope of a line, we need to know at least two points contained in the graph of the line.

The slope [tex]m[/tex] of a line passing through the points [tex](x_0,~y_0)[/tex] and [tex](x_1,~y_1)[/tex] is given by the formula: [tex]m=\dfrac{y_1-y_0}{x_1-x_0}[/tex].

As we can see on the graph, two points contained on the line are [tex](0,~3)[/tex] and [tex](2,~0)[/tex].

Using the formula above, we get that:

[tex]m=\dfrac{3-0}{0-2}[/tex]

Subtract the values on both numerator and denominator of the fraction

[tex]m=-\dfrac{3}{2}~~\checkmark[/tex]

This is the slope of this line we were looking for and is the answer contained on the 4th option.

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