SOLUTION: 1)line l goes through (1,3) and is parallel to the line through (4,3) and (-3,1) FInd the slope of l. the answer I got was 2/7 is this correct? 2)line l goes through the po

Question 149454: 1)line l goes through (1,3) and is parallel to the line through (4,3) and (-3,1) FInd the slope of l.
the answer I got was 2/7 is this correct?

2)line l goes through the point (5,-2) and is perpendicular to the line through (-2,1)and (-4,-2) Find the slope of l
the answer I got was -3/2 is this correct?
3)Write the equation y=1/3x-2 in standard form using only integers and a positive coefficent for x
The answer I got was x+3y=6 is this correct?

4) A Line that goes through (-1,-3)and has a slope of 4.
My answer is y=4x-3 is this correct?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
1) correct

2) You're on the right track. The slope through (-2,1)and (-4,-2) is 3/2. So flip the fraction and change the sign to get -2/3. So the perpendicular slope is -2/3

3) Close, but you forgot to multiply the term "3y" by negative 1 (since you multiplied the "x" term by -1). So the correct equation is x-3y=6

4)

If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---
where is the slope, and

is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Rewrite as

Rewrite as

Distribute

Multiply and to get

Subtract 3 from both sides to isolate y

Combine like terms and to get
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Answer:

So the equation of the line with a slope of which goes through the point (,) is:

which is now in form where the slope is and the y-intercept is

Notice if we graph the equation and plot the point (,), we get (note: if you need help with graphing, check out this solver )

Graph of through the point (,)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.

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