Question

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

Answer 1

Answer:

In the attachment.

Step-by-step 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

$y=\dfrac{1}{2}x+\dfrac{11}{2}$

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

$y=\dfrac{1}{2}(1)+\dfrac{11}{2}=\dfrac{1}{2}+\dfrac{11}{2}=\dfrac{12}{2}=6\to(1,\ 6)$

for x = -5

$y=\dfrac{1}{2}(-5)+\dfrac{11}{2}=-\dfrac{5}{2}+\dfrac{11}{2}=\dfrac{6}{2}=3\to(-5,\ 3)$