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Calculate the gradient of the line using rise/run method.

Calculate The Gradient Of The Line Using Riserun Method class=

Sagot :

Given:

The graph of line.

To find:

The gradient of the line using rise/run method.

Solution:

We know that the gradient of a line is also known as slope.

[tex]Slope=\dfrac{Rise}{Run}[/tex]

Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.

[tex]Rise=-3[/tex]

[tex]Run=2[/tex]

Now,

[tex]Slope=\dfrac{Rise}{Run}[/tex]

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

The gradient of the line is [tex]-\dfrac{3}{2}[/tex].

Therefore, the correct option is C.

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