The scatter plot shows the length of a spring when a stretch force is applied. the equation represents the linear model for this data.

y = 0.73x + 1

what does the number 1 in the equation mean in this context?

a. the spring requires a force of 0.73 pound to stretch 0.73 inch.

b. the spring stretches a distance of 1 inch when a force of 0.73 pound is applied.

c. the spring will stretch 1 inch for every pound of force applied.

d. the spring has a length of 1 inch when no force is applied.

e. the spring has no stretch when a force of 1 pound is applied.

option: D is correct.

Step-by-step explanation:

Clearly the y-axis in the following graph or scatter plot represents the Stretch length (in cms) and x-axis denotes the value stretch force (in pounds) i.e. the force applied to the string in pounds.

The number 1 in the equation mean in this context:

That the spring is stretched 1 inch when no force was applied to it.

since the number 1  on the y-axis i.e when x=0 i.e. no force is applied to it.

Hence, option D is correct.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

2x^2+5x+17

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