Question

writing linear equations given a graph pixel art directions: using the graphs below, write the linear equation of the line in slope - intercept form (use format: no spaces, y = mx + b) or standard form (use format: no spaces, ax + by = c). click on the corresponding tab at the bottom of the google sheet to enter your answers and earn pixels for correct answers. answer all 18 problems correctly to reveal the pixel art image! 1) graph of a line on a coordinate grid 2) graph of a line on a coordinate grid

Explanation:

Step1: Identify intercepts for Graph 1

The line crosses $(0,0)$ and $(8,-8)$. Slope $m=\frac{-8-0}{8-0}=-1$.

Step2: Write slope-intercept for Graph1

Using $b=0$, $y=-1x+0$ → $y=-x$. Convert to standard form: $x+y=0$.

Step3: Identify intercepts for Graph2

The line crosses $(0,8)$ and $(1,7)$. Slope $m=\frac{7-8}{1-0}=-1$.

Step4: Write slope-intercept for Graph2

Using $b=8$, $y=-1x+8$ → $y=-x+8$. Convert to standard form: $x+y=8$.

Answer:

1. Slope-intercept form: $y=-x$; Standard form: $x+y=0$
2. Slope-intercept form: $y=-x+8$; Standard form: $x+y=8$