Question

What is the equation if the line slope is 2/3 and the y-intercept is -3

Answer 1

The required equation of line is 2x - 3y - 9 = 0.

Step-by-step explanation:

Here, slope(m) = $\dfrac{2}{3}$ and y - intercept(c) = -3

To find, the required equation of line = ?

We know that,

The equation of a line with slope m and y-intercept c is given by

y = mx + c

∴ The required equation of line

y = $\dfrac{2}{3}$x + (- 3)

⇒ y = $\dfrac{2}{3}$x - 3

⇒ y + 3 = $\dfrac{2}{3}$x

⇒ 3(y + 3) = 2x

⇒ 3y + 9 = 2x

⇒ 2x - 3y - 9 = 0

Thus, the required equation of line is 2x - 3y - 9 = 0.