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).

AnswerscorrectIy Jul 18, 2024

#1**+2 **

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

chess4math Jul 18, 2024

#1**+2 **

Best Answer

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

chess4math Jul 18, 2024