Question

a worker at an orchard measures the mass of a different numbers of apples. The scatter plot below shows the relationship between the mass, in kilograms, and the number of apples. What is the slope of the line of best fit? Express your answer as a decimal and round to the nearest hundredth.

Answer 1

Answer:

To find the slope, use this following formula

m = \dfrac{y_{2}-y_{1} }{x_{2}-x_{1}}

x

2

−x

1

y

2

−y

1

with (x₁,y₁) and (x₂,y₂) are points that lie on the graph

I use (0,0) as (x₁,y₁) and (10, 1.2) as (x₂,y₂)

See image attached

plug in the numbers to the formula

m = \dfrac{y_{2}-y_{1} }{x_{2}-x_{1}}

x

2

−x

1

y

2

−y

1

m = \dfrac{1.2-0 }{10-0}

10−0

1.2−0

m = \dfrac{1.2}{10}

10

1.2

m = 0.12

The slope is 0.12

Answer 2

Step-by-step explanation:

To evaluate for the slope we use the formula:

slope,m=(y₁-y)/(x₁-x)

thus selecting 2 points from the graph where the line cuts, (0,0) and (5, 0.6)

thus plugging the values in the formula and simplifying we obtain:

m=(0.6-0)/(5-0)

m=0.6/5

m=0.12

hence the slope of the line of best fit is m=0.12