+829 Write the equation of the line below in the form Ax+By=C, where A, B, and C are integers with greatest common divisor 1 and A is positive.
The line passes through (-2,5) and (9,1).
+8 We can write the equation in slope intercept form (y = mx +b) and convert it to Ax+By=C form.
m is the slope which is equal to (1-5)/(9-(-2)) = -4/11
y = -4x/11 + b
Substituting a point, we have 1 = -36/11 + b
b = 1 + 36/11 = 47/11
y = -4x/11 + 47/11
11y = -4x + 47
4x + 11y = 47
+8 We can write the equation in slope intercept form (y = mx +b) and convert it to Ax+By=C form.
m is the slope which is equal to (1-5)/(9-(-2)) = -4/11
y = -4x/11 + b
Substituting a point, we have 1 = -36/11 + b
b = 1 + 36/11 = 47/11
y = -4x/11 + 47/11
11y = -4x + 47
4x + 11y = 47
