Question

Write the equation of the line that passes through (3, 6) and (0, –3) in slope-intercept form.

Answer 1

Find the slope:
\[\frac{y2-y1}{x2-x1}=\frac{-3-6}{0-3}=3\]
You can then use point slope form to write the equation and switch to slope intercept form easily
\[y-6=3(x-3), y=3x-9+6=3x-3\]