Question

7. The distance y (miles) that an athlete training for a marathon is from home after x(hours) is shown in the figure to the right.Distance from Homea. What is the y-intercept as an ordered pair?30b. Find the slope of this line. (Be aware of the scale)200Distance (miles)(1, 10)10C. What is the equation of this linear segment?0 0.5 1.0 1.5 2.0 2.5 3.0Time (hours)

Answer 1

`\begin{gathered} a) \\ y-intercept\text{ is \lparen0,20\rparen} \\ \\ b) \\ P1(0,20) \\ P2(1,10) \\ slope=m=(y2-y1)/(x2-x1)=(10-20)/(1-0)=(-10)/(1)=-10 \\ The\text{ slope is -10} \\ \\ c) \\ y=mx+b \\ m=-10 \\ y=-10x+b \\ T\text{o find b using P1\lparen0,20\rparen} \\ x=0 \\ y=20 \\ 20=-10(0)+b \\ 20=0+b \\ b=20 \\ Hence,\text{ the linear equation is} \\ y=-10x+20 \end{gathered}`