Engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in degrees to angles in gradients. What is the slope of the line representing the conversion of degrees to gradients?

Express your answer as a decimal rounded to the nearest hundredth.

Answer:

1.11

Step-by-step explanation:

The slope of the line representing the conversion of degrees to gradients is 1.11.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

Engineers measure angles in gradients, which are smaller than degrees.

The formula for the slope:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Taking two points (-180, -200) and (-90, -100)

[tex]\rm m =\dfrac{-100-(-200)}{-90-(-180)}[/tex]

m = 100/90

m = 1.11

Thus, the slope of the line representing the conversion of degrees to gradients is 1.11.

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