Question

Pls I do not understand this

Answer 1

Answer:

$y=-\frac{1}{2}x+8$

Step-by-step explanation:

The slope of a line perpendicular to another line always has the opposite of the reciprocal of the lines slope. So, we can start the equation with $y=-\frac{1}{2}x+b$ with b being the y-intercept. To find the y-intercept, we can plug the values of a point that the line goes through into the equation. In this case, it passes through (4,6), so $6=-\frac{1}{2}(4)+b$. Solve this equation to find b. $6=-2+b$, $8=b$. So, we are left with $y=-\frac{1}{2}x+8$.