Option B:
is the line of best fit in slope - intercept form
Explanation:
It is given that the straight line joins the ordered pairs
and ![(10,15)](https://tex.z-dn.net/?f=%2810%2C15%29)
We need to determine the line of best fit in slope - intercept form.
The equation of the line of best fit in slope - intercept form is given by
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is the slope and b is the y - intercept
The slope can be determined by substituting the points
and
in the formula,
![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![m=\frac{15-1}{10-0}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B15-1%7D%7B10-0%7D)
![m=\frac{14}{10}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B14%7D%7B10%7D)
![m=\frac{7}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B7%7D%7B5%7D)
Thus, the slope is ![m=\frac{7}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B7%7D%7B5%7D)
The y - intercept is the value of y when the value of the x - coordinate is zero.
Thus, from the ordered pair
, the y -intercept of the graph is ![b=1](https://tex.z-dn.net/?f=b%3D1)
Substituting the slope and the y - intercept in the equation
, we get,
![y=\frac{7}{5} x+1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B7%7D%7B5%7D%20x%2B1)
Thus, the equation of line of best fit in slope - intercept form is ![y=\frac{7}{5} x+1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B7%7D%7B5%7D%20x%2B1)
Hence, Option B is the correct answer.