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.

Question

asked Dec 10, 2023 83.4k views

1 Answer

Bruce Armstrong · Answer 1 · 2023-12-15T11:29:51+0000

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