SOLUTION: Help me solve this equation.Find the equation of the line through (-2,-9) and (0,-6).Write the equation in standard form.I have tried -9-(-6)

Question 226454: Help me solve this equation.Find the equation of the line through (-2,-9) and (0,-6).Write the equation in standard form.I have tried -9-(-6)
-2-0 and i get -3/-2
so then i put it in -9=-3/2(-2)+b and i get y=-3/2x-12 and my final answer is 3x+2y=-24 but that is not one of the choices given to me. Can you tell me what is it that i'm doing wrong
Found 2 solutions by scott8148, jim_thompson5910:
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
"-2-0 and i get -3/-2
so then i put it in -9=-3/2(-2)+b"

you have a sign problem
-3/-2 is 3/2 (the negatives cancel)
you use -3/2 in your equation
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

First let's find the slope of the line through the points and

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

So the slope of the line that goes through the points and is

Now let's use and to find 'b'

Start with the general slope-intercept equation.

Plug in the given slope .

Plug in the and from the given point .

Multiply and to get

Add to both sides.

Combine like terms.

So the y-intercept is .

So the equation (in slope-intercept form) that goes through the points and is

If you need to convert it into standard form, then...

Start with the slope-intercept equation.

Multiply EVERY term by the LCD 2 to clear the fraction.

Subtract 3x from both sides.

Multiply EVERY term by -1 to make the x coefficient positive.

So the equation in standard form that goes through (-2,-9) and (0,-6) is

Here's a graph to visually confirm our answer:

RELATED QUESTIONS
Please help me solve this: Find the equation of the line perpendicular to -4y-5=3x... (answered by JBarnum)
If I don't get this ASAP, I'll be in big trouble. Can somebody please Help me?! 1.... (answered by Boreal,ewatrrr)
Find the equation of the line through the given pair of points. solve for y if possible.... (answered by rothauserc)
find the equation of the line through (-8,-7) and (0,-2). write the equation in standard... (answered by geetha_rama)
Please help me solve this question: Write the equation for the line that has a slope of... (answered by lwsshak3)
Line l has slope 9 and goes through ( 0, 1/6). Find the equation of line l and write it... (answered by josgarithmetic)
please help me solve this equation: write the equation of the line that passes through... (answered by sofiyac,mananth)
Hello, I was hoping you'd please help me out with a math problem. I have to find an... (answered by mananth)
write the equation of each line in standard form. Passes through (-6,2) and (-2,... (answered by ozymandias)