Question

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

Answer 1

2.
`y=(1)/(2)x +3`

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:

`y-y_1=m(x-x_1)\\y-4=(1)/(2)(x-2)`

This is the equation of the line. You can convert it to slope intercept form:

`y-4=(1)/(2)(x-2)\\y-4 = (1)/(2)x -1 \y=(1)/(2)x +3`