Question

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

Answer 1

Answer:

2. $y=\frac{1}{2}x +3$

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:

$y-y_1=m(x-x_1)\\y-4=\frac{1}{2}(x-2)$

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

$y-4=\frac{1}{2}(x-2)\\y-4 = \frac{1}{2}x -1 \y=\frac{1}{2}x +3$