Question

Find the equation of the line of best fit shown on the scatter plot.A) y = - 1/2x + 35B) y = - 1/2x - 35C) y = 1/2x + 35D) y = 1/2x - 25

Answer 1

`y=-(1)/(2)x+35`

Step-by-step explanation

From the given diagram;

For any straight line;

`\begin{gathered} y=mx+c \\ m=gradient,c=y-intercept \end{gathered}`

The slope of the straight line is;

`\begin{gathered} m=(\Delta y)/(\Delta x) \\ m=-(1)/(2) \end{gathered}`

The y-intercept is;

`35`

Hence, the equation of the straight line is;

`y=-(1)/(2)x+35`