Question

What is the equation in standard form of the line which passes through (6, 3) and has a slope of two-thirds?

2x + 3y = 3

2x – 3y = 3

3x + 2y = 3

3x – 2y = 3

Answer 1

\[Slope(m) = \frac{2}{3}\]

Equation of line with one point given and a slope is given by:

\[\large y - y_1 = m(x - x_1)\]

So:

\[y - 3 = \frac{2}{3}(x - 6)\]

Multiply by 3 both the sides:

\[3y - 9 = 2x - 12\]

\[2x - 3y = 3\]