Question

Which is the equation of the line?

Answer 1

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

`\spadesuit\; Slope(m) = (y_1 - y_2)/(x_1 - x_2)`

Given Points are (0 , 9) and (3 , 0)

here x₁ = 0 and x₂ = 3 and y₁ = 9 and y₂ = 0

`\spadesuit\; Slope(m) = (9 - 0)/(0 - 3) = (9)/(-3) = -3`

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