Question

if point (-1,0) is on the line whose equation is y=2x+b what is the value of b? show your work and explain) A. 1 B. 2 C. 3 D. 0​

Answer 1

To find the value of b plug in the point (-1,0) into the known part of the equation ( y = 2x + b ) and solve for b

0 = 2(-1) + b

0 = -2 + b

To isolate b add 2 to both sides (addition of 2 will make -2 zero and cancel it from the right side and bring it to the left)

0 + 2 = (-2 + 2) + b

2 = 0 + b

2 = b <------------------------B. 2

Hope this helped!

Answer 2

`\bf y=2x+b~~\hspace{8em} (\stackrel{x}{-1},\stackrel{y}{0})~\hspace{8em} 0=2(-1)+b \\\\\\ 0=-2+b\implies 2=b`