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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.

User Kirtan
by
3.6k points

1 Answer

0 votes

Answer:


y= -(1)/(2)x+5

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= -(1)/(2)(4)+b\\ 3=-2+b\\5=b

Our equation is
y= -(1)/(2)x +5

User Bruce Armstrong
by
3.8k points