Step-by-step explanation:
Here, slope(m) = [tex]\dfrac{2}{3}[/tex] 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 = [tex]\dfrac{2}{3}[/tex]x + (- 3)
⇒ y = [tex]\dfrac{2}{3}[/tex]x - 3
⇒ y + 3 = [tex]\dfrac{2}{3}[/tex]x
⇒ 3(y + 3) = 2x
⇒ 3y + 9 = 2x
⇒ 2x - 3y - 9 = 0
Thus, the required equation of line is 2x - 3y - 9 = 0.
