Posted by **Christina** on Thursday, October 13, 2011 at 10:21am.

What is the standard form of the equation of the line passing through the point (-1,-2) and perpendicular to the line y= - 2/3x - 1?

a. 3x-2y=-1

b.3x-2y=1

c.3x+2y=1

d.3x+2y=-1

I don't understand, can anyone help me please?

- Algebra -
**Christina**, Thursday, October 13, 2011 at 10:36am
Would this be B?

3(-1) - 2(-2) = 1

(-3) - (-4) =1

1 = 1

- Algebra -
**Steve**, Thursday, October 13, 2011 at 4:23pm
Yes.

However, I don't think you understand why. Just checking to see which of the lines contains your point is not enough.

The line y = -2/3x - 1 has slope -2/3.

Any line perpendicular to that line has slope -1/(-2/3) = 3/2.

So, now you have a slope and a point.

Using the point-slope form a line,

y-(-2) = 3/2 (x-(-1))

y+2 = 3/2 (x+1)

2(y+2) = 3(x+1)

2y + 4 = 3x + 3

3x - 2y = 1

## Answer this Question

## Related Questions

- Math - Write your answer in standard form. Show all your work if you want to be ...
- Pre- Algebra - Given an equation of a line, how do I find equations for lines ...
- math - i have more than one question so if u no any of the answers please tell ...
- algebra - Could you please help me?? point-slope form linear equation y-3 = 3(x+...
- Algebra - Write an equation in standard form (slope-intecept form) of the line ...
- Algebra 1 - Write an equation in slope-intercept form for a line that passes ...
- algebra - Please help me. Find the equation of the line satisfying the ...
- Algebra - Find the equation, in standard form, with all integer coefficients, of...
- algebra - Write the equation of the line that passes through point (5, 4) with a...
- Algebra... - Write the equation of a vertical line passing through the point (8...