Answer:
The required equation is [tex]y=-1.8x+212[/tex].
Step-by-step explanation:
We are given,
The table showing the boiling points of water at different altitudes.
We will find the slope of the equation using [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
Taking points (0,212) and (0.5,211.1) and substituting in the formula,
Slope is [tex]m=\frac{211.1-212}{0.5-0}[/tex]
i.e. Slope is [tex]m=\frac{-0.9}{0.5}[/tex]
i.e. Slope is -1.8
Substituting slope and the point (0,212) in the equation [tex]y=mx+b[/tex], we will find the value of y-intercept 'b'.
That is, [tex]212=-1.8\times 0+b[/tex] i.e. b= 212
Thus, the required equation is [tex]y=-1.8x+212[/tex].