Question

passing statistics
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 )

Explanation:

Step1: Use the point - slope form

The point - slope form of a line is \(y - y_1=m(x - x_1)\), where \(m\) is the slope and \((x_1,y_1)\) is a point on the line. Given \(m = 3\) and the point \((24,127)\)
\(y-127 = 3(x - 24)\)

Step2: Expand the equation

$$
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$$

Answer:

\(y = 3x + 55\)