what is the slope of the line graphed in the given coordinate plane?
what is the slope of the line graphed in the given coordinate plane?
Answer
Explanation:
Step1: Identify two points on the line
The line passes through the origin ((0,0)) and another point, for example, ((10, -2)) (by observing the graph, when (x = 10), (y=- 2)).
Step2: Use the slope formula
The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(0,0)) and ((x_2,y_2)=(10, - 2)). Then (m=\frac{-2 - 0}{10 - 0}=\frac{-2}{10}=-\frac{1}{5}). We can also check with another point, say ((5, - 1)). Using ((0,0)) and ((5, - 1)), (m=\frac{-1-0}{5 - 0}=-\frac{1}{5}), which confirms the slope.
Answer:
(-\frac{1}{5})