what is the slope of this line? (with a coordinate grid and a line plotted)
what is the slope of this line? (with a coordinate grid and a line plotted)
Answer
Explanation:
Step1: Identify two points on the line
From the graph, we can see that the line passes through ((0, 18)) (the y-intercept) and ((12, 36)) (we can also use other points, but these are easy to identify).
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, 18)) and ((x_2, y_2) = (12, 36)). Then: [ m = \frac{36 - 18}{12 - 0} = \frac{18}{12} = \frac{3}{2} = 1.5 ] We can also check with another pair of points, say ((-12, 0)) and ((0, 18)). Then: [ m = \frac{18 - 0}{0 - (-12)} = \frac{18}{12} = \frac{3}{2} = 1.5 ]
Answer:
(1.5) (or (\frac{3}{2}))