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 
:
Start with the point/slope equation: y - y1 = m(x - x1)
y - (-1) = {{{13/19}}}(x - (-2))
:
y + 1 = {{{13/19}}}(x + 2)
:
y + 1 = {{{13/19}}}x + {{{26/19}}}
:
y = {{{13/19}}}x + {{{26/19}}} - {{{19/19}}}
:
y = {{{13/19}}}x + {{{7/19}}}
:
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