the graph highlights two other points on the trend line. use them to find another equation for the trend…

the graph highlights two other points on the trend line. use them to find another equation for the trend line shown for this scatterplot.\ny = 82x + 998\ny = 247.7x - 335\ny = 743x - 1647\ny = 998x + 82

the graph highlights two other points on the trend line. use them to find another equation for the trend line shown for this scatterplot.\ny = 82x + 998\ny = 247.7x - 335\ny = 743x - 1647\ny = 998x + 82

Answer

Answer:

y = 82x + 998

Explanation:

Step1: Recall slope - formula

$m=\frac{y_2 - y_1}{x_2 - x_1}$, with $(x_1,y_1)=(2,1162)$ and $(x_2,y_2)=(11,1900)$.

Step2: Calculate the slope

$m=\frac{1900 - 1162}{11 - 2}=\frac{738}{9}=82$.

Step3: Use point - slope form

$y - y_1=m(x - x_1)$, substituting $m = 82$, $x_1 = 2$, $y_1=1162$ gives $y-1162 = 82(x - 2)$.

Step4: Simplify to slope - intercept form

$y-1162=82x-164$, then $y = 82x+998$.