3) An existing track is perpendicular to y=1/2x + 2 and passes through B(7,5)

Answer:
2. [tex]y=\frac{1}{2}x +3[/tex]
Step-by-step explanation:
2. The line will be parallel to the current track which means they have the same slope. To write the equation, use the slope m=1/2 and the point (2,4) in point slope form:
[tex]y-y_1=m(x-x_1)\\y-4=\frac{1}{2}(x-2)[/tex]
This is the equation of the line. You can convert it to slope intercept form:
[tex]y-4=\frac{1}{2}(x-2)\\y-4 = \frac{1}{2}x -1 \y=\frac{1}{2}x +3[/tex]