Question

What is the equation of the line between `(5,17)` and `(14,4)`?

Answer 1

`color(indigo)("Standard form of the linear equation is " x + 3y = 56`

Explanation:


`(x_1, y_1) = (5, 17), (x_2, y_2) = (14,4)`

`color(crimson)("Equation of a line with two known points is given by"`

`color(crimson)((y - y_1 ) / (y_2 - y_1) = (x - x_1) / (x_2 - x_1)`

`(y - 17) / (4-7) = (x - 5) / (14 - 5)`

`9 * (y - 17) = -3 * (x - 5)`

`9y + 3x = 153 + 15`

`color(indigo)("Standard form of the linear equation is " x + 3y = 56`