Question

determining slope from a table
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
angle measure conversion
degrees\tgradients
-180\t-200
-90\t-100
0\t0
90\t100
180\t200
270\t300

Explanation:

Step1: Recall slope formula

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. Let $x$ be degrees and $y$ be gradients.

Step2: Select two points

Choose $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(90,100)$.

Step3: Calculate the slope

$m=\frac{100 - 0}{90 - 0}=\frac{100}{90}=\frac{10}{9}\approx1.11$

Answer:

$1.11$