Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
[tex]\spadesuit\; Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Given Points are (0 , 9) and (3 , 0)
here x₁ = 0 and x₂ = 3 and y₁ = 9 and y₂ = 0
[tex]\spadesuit\; Slope(m) = \frac{9 - 0}{0 - 3} = \frac{9}{-3} = -3[/tex]
We can notice that the y-intercept of line is 9
⇒ c = 9
We know that Equation of line in Slope-Intercept form is y = mx + c
where m is the Slope and c is the y-intercept
We found that Slope(m) = -3 and c = 9
Substituting in the Slope-Intercept form we get the Equation of line as :
⇒ y = -3x + 9
Last Option is the Answer
