%EF%BB%BFLine segment Upper A Upper E begins at left parenthesis 0 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis.%C2%A0Line segment Upper B Upper E begins at left parenthesis 3 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis.%C2%A0Line segment Upper C Upper E begins at left parenthesis 6 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis.%C2%A0Line segment Upper D Upper E begins at left parenthesis 9 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Question Multiple Choice Use the graph to answer the question. What is%C2%A0 in simplest form? (1 point) Responses Image with alt text: start fraction 10 over 3 end fraction Image with alt text: start fraction 1 over 3 end fraction Image with alt text: Start Fraction 17 over 5 End Fraction 3
To find the slope of a line segment, we use the formula:
slope = (change in y) / (change in x)
For line segment AE, the change in y is 5 - 0 = 5 and the change in x is 4 - 0 = 4. Therefore, the slope of line segment AE is 5/4.
For line segment BE, the change in y is 5 - 0 = 5 and the change in x is 4 - 3 = 1. Therefore, the slope of line segment BE is 5/1 = 5.
For line segment CE, the change in y is 5 - 0 = 5 and the change in x is 4 - 6 = -2. Therefore, the slope of line segment CE is 5/-2 = -5/2.
For line segment DE, the change in y is 5 - 0 = 5 and the change in x is 4 - 9 = -5. Therefore, the slope of line segment DE is 5/-5 = -1.
The slope of the line segment that has the simplest form is:
Image with alt text: start fraction 1 over 3 end fraction