elena agrees to finish a knitting project for a friend. the graph shows the number of rows elena completes…
elena agrees to finish a knitting project for a friend. the graph shows the number of rows elena completes compared to the amount of time spent knitting. assuming she worked at a constant rate, how many rows had been completed before elena started working? 12 14 15 19
Answer
Explanation:
Step1: Find the slope of the line
The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Using the points ((14,19)) and ((20,22)): (m=\frac{22 - 19}{20 - 14}=\frac{3}{6}=\frac{1}{2})
Step2: Use the point - slope form (y - y_1=m(x - x_1))
Using the point ((14,19)) and (m = \frac{1}{2}), we have (y-19=\frac{1}{2}(x - 14)) Expand: (y-19=\frac{1}{2}x-7) Then (y=\frac{1}{2}x + 12)
Step3: Find the (y) - intercept
When (x = 0) (before she started working, (x = 0)), (y=\frac{1}{2}(0)+12)
Answer:
12