Question

5
Find the equation of the straight line that goes through the point
(4, 3) and is perpendicular to the line y = 2x+11, Give the answer
in the form y= mx + C.

Answer 1

Answer:

$y= -\frac{1}{2}x+5$

Step-by-step explanation:

When lines are perpendicular to each other, the slopes are negative reciprocals.

The slope of line y=2x+11 is 2. The negative reciprocal of that is -1/2.

Next, plug in the x and y values so we can get b (y intercept).

$3= -\frac{1}{2}(4)+b\\ 3=-2+b\\5=b$

Our equation is $y= -\frac{1}{2}x +5$