Question

Find the equation (in terms of x ) of the line through the points (-2,4) and (1,-5)y=

Answer 1

To determine the equation of a line that passes through (x₁,y₁) you can use the following formula:

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

Substituting the given points in the above formula, you get:

`y-4=(4-(-5))/(-2-1)(x-(-2)).`

Simplifying you get:

`\begin{gathered} y-4=(9)/(-3)(x+2), \\ y-4=-3(x+2). \end{gathered}`

Taking the above solution to its slope-intercept form, you get:

`\begin{gathered} y=-3x-6+4, \\ y=-3x-2. \end{gathered}`

Answer:

`y=-3x-2.`