SOLUTION: Write an equation in standard form with integer coefficients for the line with slope 13/19 going through the point (-2,-1) What is the equation of the line

Algebra ->  Linear-equations -> SOLUTION: Write an equation in standard form with integer coefficients for the line with slope 13/19 going through the point (-2,-1) What is the equation of the line       Log On


   



Question 184650: Write an equation in standard form with integer coefficients for the line with slope 13/19 going through the point (-2,-1)
What is the equation of the line

Found 3 solutions by ankor@dixie-net.com, solver91311, josmiceli:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation in standard form with integer coefficients for the line with slope 13/19 going through the point (-2,-1)
What is the equation of the line
:
Start with the point/slope equation: y - y1 = m(x - x1)
y - (-1) = 13%2F19(x - (-2))
:
y + 1 = 13%2F19(x + 2)
:
y + 1 = 13%2F19x + 26%2F19
:
y = 13%2F19x + 26%2F19 - 19%2F19
:
y = 13%2F19x + 7%2F19
:
Multiply by 19, results
19y = 13x + 7
:
-13x + 19y = 7 is the standard form
;
:
Check solution by substituting for x and y:
-13(-2) + 19(-1) = 7
+26 - 19 = 7

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You need the Point-Slope form of the equation of a straight line:



Just substitute the coordinates of your given point for and and your slope number for m. Then rearrange your equation into standard form:



Hint: Multiply by 19 first.


John


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I can use the general formula
m+=+%28y+-+y%5B1%5D%29+%2F+%28x++-+x%5B1%5D%29
given:
The point (-2,-1)
x%5B1%5D+=+-2
y%5B1%5D+=+-1
m+=+13%2F19
-----------------
13%2F19+=+%28y+-+%28-1%29%29+%2F+%28x++-+%28-2%29%29
13%2F19+=+%28y+%2B+1%29+%2F+%28x+%2B+2%29
Multiply both sides by 19%2A%28x+%2B+2%29
13%2A%28x+%2B+2%29+=+19%2A%28y+%2B+1%29
13x+%2B+26+=+19y+%2B+19
13x+-+19y+=+-7 answer