You'll need to do this in y=mx+b form and use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and b = y - mx to find your answer.
Solving for m: [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{6-8}{9-6}=\frac{-2}{3}=-\frac{2}{3}[/tex]
Solving for b: [tex]b=8-(-\frac{2}{3})(6)=12[/tex], for solving for b, you can use either point, but I used to first one. If you used the second one, you'd also get 12. In summary, the equation of the line that passes through the points (6,8) and (9,6) is [tex]y=-\frac{2}{3}x+12[/tex].
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)
- Cutiepatutie ☺❀❤
The line of best is y = -2x/3 + 12 using two points option (B) -2x/3 + 12 is correct.
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have:
Two points:
(6, 8) and (9, 6)
We can find the line of best fit using the points:
[y - 8] = (6 - 8)/(9 - 6)[x - 6]
[y - 8] = (-2)/(3)[x - 6]
3[y - 8] = -2[x - 6]
3y - 24 = -2x + 12
3y = -2x + 24 + 12
3y = -2x + 36
y = -2x/3 + 36/3
y = -2x/3 + 12
The above equation represents the line of best fit using two points on the line. (6, 8) and (9, 6)
Thus, the line of best is y = -2x/3 + 12 using two points option (B) -2x/3 + 12 is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
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