Answer:
Equation of line b in standard form is: [tex]\mathbf{2x+y=-11}[/tex]
Option A is correct.
Step-by-step explanation:
We need to find equation of line b that passes through the point ( (6,4) and has a slope of -2.
First we need to find y-intercept of line using formula: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Using m=-2 , x=6 and y=4 the y-intercept will be:
[tex]y=mx+b\\4=-2(6)+b\\4=12+b\\b=4-12\\b=-11[/tex]
Now finding the equation of line having slope m=-2 and y-intercept b=-11
[tex]y=mx+b\\y=-2x-11[/tex]
Writing the equation in standard form
[tex]y=-2x-11\\2x+y=-11[/tex]
So, equation of line b in standard form is: [tex]\mathbf{2x+y=-11}[/tex]
Option A is correct.
