Question

What is the equation of a line that is perpendicular to the line y = −3x + 2 and passes through the point (6, 8)?

Answer 1

y = 1/3x + 6

Explanation:

Because perpendicular lines have opposite and reciprocal slopes, we have to change our slope into a positive and flip it into it's reciprocal.

Now its: y = 1/3x + b

Next, we find b using slope intercept form.

8 = 1/3(6) + b

8 = 2 + b

6 = b

Place b into the equation.

y = 1/3x + 6

Answer 2

Answer:
`y=(1)/(3) x+6`

Explanation:

To find the perpendicular line, we have to change the slope of the original, equation.

The slope of the perpendicular line is 1/3. We can plug in the new point. To find the equation.

`8=(1)/(3)(6)+b` [multiply]

`8=2+b` [subtract both sides by 2]
b=6

Final equation is
`y=(1)/(3) x+6`