Question

Graph the linear equation in three plots: -x+2y=11

Answer 1

In the attachment.

Explanation:

Convert the given equation to the form y = mx + b:

`-x+2y=11` add x to both sides

`2y=x+11` divide both sides by 2

`y=(1)/(2)x+(11)/(2)`

It's a linear function.

We need only two points to plot the graph. Select any two x values, insert into the equation and calculate y values.

for x = 1

`y=(1)/(2)(1)+(11)/(2)=(1)/(2)+(11)/(2)=(12)/(2)=6\to(1,\ 6)`

for x = -5

`y=(1)/(2)(-5)+(11)/(2)=-(5)/(2)+(11)/(2)=(6)/(2)=3\to(-5,\ 3)`