Question

a heater is turned on in a cold room the scatterplot shows the relationship between the length of time since the heater was on in the temperature of the room the y-intercept of the estimated line of best fit is at (0, b). enter the approximate slope of the estimated line of best fit in the second response box ​

Answer 1

what were the answers? IExplanation:

Answer 2

A estimation of the slope is (1/2) °C/min

Explanation:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Then we just need to look at the graph and find two points that belong to the graphed line (not the points) and estimate the slope

We can see that the line passes near the points (14 min, 14°C) and (18 min, 16°C)

Then the slope is:

a = (16°C - 14°C)/(18 min - 14 min) = (2°C)/(4 min) = (1/2) °C/min