find the equation of the line.\nuse exact numbers. for a negative y-intercept, type a negative sign.\n$y =…
find the equation of the line.\nuse exact numbers. for a negative y-intercept, type a negative sign.\n$y = \\square x+\\square$
Answer
Explanation:
Step1: Identify y-intercept
The line crosses the y-axis at $(0, -3)$, so $b=-3$.
Step2: Calculate slope (rise over run)
Pick two points: $(0, -3)$ and $(6, 0)$. Slope $m=\frac{0 - (-3)}{6 - 0}=\frac{3}{6}=\frac{1}{2}$
Step3: Plug into slope-intercept form
Use $y=mx+b$ with $m=\frac{1}{2}$ and $b=-3$.
Answer:
$y=\frac{1}{2}x - 3$