Question

Graph the linear equation. Find three points to solve the equation, then plot on the graph.

Answer 1

To graph, turn -x - y = 0 to y = -x by adding x to both sides then multiplying -1 to both sides. Then get points (0,0), (1, -1), and (2, -2) by replacing x with 0, 1, and 2 respectively and solving for y. Plot all of the points, and draw a line through them to graph.

Answer 2

Multiply both sides of -x-y=0 by -1 to obtain x + y = 0, and then solve for y:

y = -x This is a straight line whose graph is much like that of y = x, except that y decreases as x increases.

We may choose any desired x values and calculate the associated y-values.

x y = -x (x,y)

0 0 (0,0)

-2 2 (-2, 2)

4 -4 (4, -4)

Plot these three points on graph paper and then draw a straight line through them all.