Question

Find the equation of the line described.

Answer 1

Answer:

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

Step-by-step explanation:

The slope of the perpendicular line would be the negative reciprocal of the slope of the first line.

$3$ would turn into $-\frac{1}{3}$

You would now have

$y=-\frac{1}{3} x+b$

To find b, you would plug in the points given to find the y-intercept.

$x=6\\y=2$

Substitute:

$(2)=-\frac{1}{3}(6)+b\\2 = -2+b$

Add 2 to each side

$4=b\\b=4$

So the final equation would be

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

Answer 2

Answer:

y = -1/3x + 4

Step-by-step explanation:

y = 3x +5

current slope m is 3, perpendicular is opposite inverse which is -1/3

Passing through (6,2):

y = mx + b

2 = -1/3(6) + b

2 = -2 + b

b = 4

Use the perpendicular m = -1/3 and b = 4 to form equation of line:

y = mx + b

y = -1/3x + 4