Q. 52 - Algebra 2

Question

Use $x+y=0$, $x+y=5$ and $x+y=-5$

Write a linear equation whose graph is between the graphs of $x+y=0$ and $x+y=5$

Step-by-Step Solution

Answer

$x+y=3$

Step 1. Concept of finding the points which satisfy the equations

Substitute $x=0$ in each equations and find the value of y and similarly put $y=0$ in each equations and find the value of x

Step 2. Determining the point which satisfies the equations

$(0,0)$ Satisfy the equation $x+y=0$

$(0,5)$ and $(5,0)$ satisfy the equation $x+y=5$

And, $(0,-5)$ and $(-5,0)$ satisfy the equation $x+y=-5$

Step 3. Plotting the Graph

Step 4. Determining the graph between x + y = 0 and x + y = 5