Question

The table shows the temperature (v) at different altitudes (x). This is a linear relationship. Find the y-intercept for this relationship. 0 Altitude (ft), X Temperature (°F). 2,000 61 4,000 53 6,000 45 8,000 10,000 12,000 37 29 21 69 They-Intercept for this relationship is b =

Answer 1

`\begin{gathered} x_1=0,y_1=69,x_2=2000,y_2=61 \\ \text{The equation is,} \\ y-y_1=(y_2-y_1)/(x_2-x_1)(x_{}-x_1)_{} \\ y-69=(61-69)/(2000-0)(x-0) \\ y-69=(-8)/(2000)x \\ y-69=-(1)/(250)x \\ y=-(1)/(250)x+69 \\ \text{The y-intercept is}\Rightarrow69 \end{gathered}`