Question

the coordinates are (1,3) , (2,5) , (3,6) , (4,9) , (5,10.5) , (6, 13) , (7,15) , (8,16) , and (9, 19)

What is the equation of a line of best fit in slope-intercept form.

Answer 1

Find the slope using the slope formula....\(\LARGE{\frac{ y2-y1 }{ x2-x1 }}\)

Get two points and place them where they belong....so we would get the first two points...
\(\LARGE{\frac{5-3}{2-1}}\) Once you get your answer that would be the slope in the slope-intercept equation....

\(\LARGE\color{green}{y=mx+b}\)
\(\LARGE{~~~~~~~~|~~~~~~~~~|}\)
\(\Large\color{purple}{~~~~~~slope~~y-intercept}\)

To double check if your slope is correct you would get to other points and use the slope formula once again if they are alike then that is the offical slope...

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To find the y-intercept you would plot your points and then draw a line between the points....when the line reaches the y-axis that would be the y-intercept....you will know what the y-intercept when x is 0....