Respuesta :
EXPLANATION
Given that the slope is equal to m=-2 and we have the (6,1), we can write the point-slope form and then turn it into a standard form as shown as follows:
[tex]y-y_1=m(x-x_1)[/tex]Replacing terms:
[tex]y-1=-2(x-6)[/tex]Applying the distributive property:
[tex]y-1=-2x+12[/tex]Adding +1 to both sides:
y = -2x + 12 + 1
Adding numbers:
y = -2x + 13
Adding +2x to both sides:
y + 2x = 13
Rearranging terms:
2x + y = 13
As the standard form of a line is Ax + By = C, our standard form equation is as follows:
2x + y = 13
