Trey believes there is a correlation between the number of texts sent during class and gpa. he collected data and found that the line of best fit for his data can be modeled by the equation y = 3.8 − 0.4x.
identify and interpret the slope in this scenario.
the slope is −0.4. starting at 3.8, the gpa will decrease by 0.4 for every text sent in class.
the slope is 0.4. starting at 3.8, the gpa will increase by 0.4 for every text sent in class.
the slope is −3.8. starting at 0.4, the gpa will decrease by 3.8 for every text sent in class.
the slope is 3.8. starting at 0.4, the gpa will increase by 3.8 for every text sent in class.

First Option

The slope is −0.4. Starting at 3.8, the GPA will decrease by 0.4 for every text sent in class.

Step-by-step explanation:

The equation of a line has the following form

Where m is the slope of the line and b is the intercept with the axis of the y

In this case, the equation is:

Observe that

So if x represents the number of texts sent during classes, this means that

When x increases by one unit then y decreases -0.4. For example when then

Then the greatest value it can take the GPA is 3.8. Therefore we can say that the function starts at y = 3.8.

The answer is the first option

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.