Write the equation of the line perpendicular to 3x + y = -8 that passes through (-3,1) . Write your answer in slope-intercept form. Show your work.

Question

steve816 · Answer

Perpendicular lines have the slope of opposite reciprocal.

steve816 · Answer

Start out by subtracting 3x from both sides to get
y = -3x - 8
Now what is the opposite reciprocal of -3?

silvysly · Answer

3?

steve816 · Answer

Nope, opposite reciprocal means that you flip the numerator and the denominator.

silvysly · Answer

Oh, okay. Is the reciprocal 1?

steve816 · Answer

Not quite, the opposite reciprocal of -3 would be 1/3

steve816 · Answer

Now, the equation has to pass through (-3, 1) ya?

silvysly · Answer

Yes.

steve816 · Answer

So you plug in the coordinate points to the slope that is perpendicular. So it would be$$\large 1=\frac{ 1 }{ 3 }(-3)+b$$
Can you solve for b?

silvysly · Answer

B=2