Question

Write the slope intercept form of the equation of the line through the given points.through: (-3,4) and (0,-5)

Answer 1

The equation of a line that passes through two points is given by:

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

Plugging the values of the points given we have:

`\begin{gathered} y-4=(-5-4)/(0-(-3))(x-(-3)) \\ y-4=(-9)/(3)(x+3) \\ y-4=-3(x+3) \\ y-4=-3x-9 \\ y=-3x-9+4 \\ y=-3x-5 \end{gathered}`

Therefore, the equation of the line is:

`y=-3x-5`