Question

Write the equation of a line that has a slope of -2/3 and passes through the point (9, 3)

Answer 1

\[
y = mx +b \\
m = -\frac{2}{3} \\
y = -\frac{2}{3}x + b \\
\text{For point (9,3):} \quad x = 9 \quad \quad y=3 \\
3 = -\frac{2}{3} \cdot 9 +b \\
3 = -6 +b \\
b = 9
\]
So
\[
y = -\frac{2}{3}x + 9
\]

Answer 2

Thank you so much :))))