Question

1. graph: $y = -x$

Explanation:

Step1: Identify line form

The equation $y=-x$ is a linear function in the slope-intercept form $y=mx+b$, where slope $m=-1$ and y-intercept $b=0$.

Step2: Find key points

Choose $x$-values, solve for $y$:

• When $x=0$, $y=-(0)=0$ → point $(0,0)$
• When $x=2$, $y=-(2)=-2$ → point $(2,-2)$
• When $x=-2$, $y=-(-2)=2$ → point $(-2,2)$

Step3: Plot and connect points

Plot the points $(0,0)$, $(2,-2)$, $(-2,2)$ on the grid, then draw a straight line through them extending across the entire grid.

Answer:

A straight line passing through the origin $(0,0)$, $(2,-2)$, and $(-2,2)$, sloping downward from left to right across the coordinate grid.