Question

Write an equation in point-slope form of the line that passes through the two given points. Use the points (-3,2) to write the equation. (9,-2) and (-3,2)

Answer 1

Answer:
`y\text{ - 2 = }(-1)/(3)(x\text{ + 3)}`Explanations:

The point - slope form of the equation of a line is given as:

`y-y_1=m(x-x_1)`

m represents the slope of the line and is given as:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

The slope of the line passing through the points (-3, 2) and (9, -2) is:

`\begin{gathered} m\text{ = }(-2-2)/(9-(-3)) \\ m\text{ = }(-4)/(12) \\ m\text{ = }(-1)/(3) \end{gathered}`

The equation of the line considering the point (-3, 2) is therefore:

`\begin{gathered} y\text{ - 2 = }(-1)/(3)(x\text{ - }(-3)\text{ )} \\ y\text{ - 2 = }(-1)/(3)(x\text{ + 3)} \end{gathered}`