lines and functions\nwriting the equation of a line given the y-intercept and another point\nwrite an…
lines and functions\nwriting the equation of a line given the y-intercept and another point\nwrite an equation of the line below.
Answer
Explanation:
Step1: Identify y-intercept
The line crosses the y-axis at $(0,0)$, so $b=0$.
Step2: Calculate slope $m$
Use points $(0,0)$ and $(-6,7)$. $m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-0}{-6-0}=-\frac{7}{6}$
Step3: Write line equation
Use slope-intercept form $y=mx+b$. $y=-\frac{7}{6}x+0$
Answer:
$y=-\frac{7}{6}x$