A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. Fro

The y-intercept is the location where any graph meets the y-axis.

Conversely, the x-intercept is where a graph intersects the x-axis.

This indicates that the coordinates at the intercept will always have the x-value as 0. Therefore, points of the format (0, y) represent y-intercepts, while points in the format (x, 0) indicate x-intercepts.

The provided points are:

(0,-6): y-intercept

(-2,0): x-intercept

(-6,0): x-intercept

(0,-2): y-intercept

Answer:

It is a) 40°

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Detailed breakdown:

locate the triangles

Given:

The temperature recorded at 10:00 am is 8 degrees Fahrenheit.

The temperature decreases by 3 degrees Fahrenheit each hour.

To find:

The temperature at 2:00 pm on the same day.

Solution:

Let y represent the temperature after x hours since 10:00 am.

The temperature at 10:00 am serves as the initial temperature.

Thus, the y-intercept of the linear equation is 8.

The temperature reduces by 3 degrees Fahrenheit every hour.

This indicates the slope of the linear equation is -3, with the negative sign indicating a decrease.

The slope-intercept form of a linear function is indicated by

where m is the slope and b is the y-intercept.

Inserting m=-3 and y=8 into the above equation gives us the required values.

From 10:00 am to 2:00 pm spans 4 hours; therefore, substitute x=4 into the above equation.

Consequently, the temperature at 2:00 pm is -4 degrees Fahrenheit.