Question

A graph titled Passing Statistics has pass attempts on the x-axis, and yards on the y-axis. A line goes through points (24, 127) and (36, 163).
The scatterplot and trend line show the correlation between the number of pass attempts a quarterback makes and the number of yards he throws the ball. The line passes through (24, 127) and (36, 163) and has a slope of 3.

What is equation of the trend line?
y = 3x + 79
y = 3x + 55
y = 3x + 65
y = 3x + 31

Answer 1

To find the equation of the trend line, we can use the slope-intercept form of a linear equation, which is given by:

\[ y = mx + b \]

where:
- \( m \) is the slope,
- \( b \) is the y-intercept.

We know the slope \( m \) is 3. Now, we need to find the y-intercept \( b \). We can use one of the points on the line to find it. Let's use the point (24, 127).

Substituting the values into the equation:

\[
127 = 3(24) + b
\]

Calculating \( 3(24) \):

\[
127 = 72 + b
\]

Now, solve for \( b \):

\[
b = 127 - 72 = 55
\]

Now we can write the equation of the trend line:

\[
y = 3x + 55
\]

Thus, the correct answer is:

**y = 3x + 55**.