Question

Find the equation of the line passing through the point (18, -5) and slope -8.y + 8x = 139y - 8x = 49y + 2x = -132y + 12x = 24

Answer 1

Given: The point and the slope below

`\begin{gathered} Point:(18,-5) \\ slope=-8 \end{gathered}`

To Determine: The equation o fthe line passing through the given point and slope

Solution

The formula for finding the equation of a line passing through a point and slope is

`\begin{gathered} Point:(x_1,y_1) \\ Slope=m \\ (y-y_1)/(x-x_1)=m \end{gathered}`

Substitute the given into the formula

`\begin{gathered} (y--5)/(x-18)=-8 \\ (y+5)/(x-18)=-8 \end{gathered}`
`\begin{gathered} y+5=-8(x-18) \\ y+5=-8x+144 \\ y+8x=144-5 \\ y+8x=139 \end{gathered}`

Hence, the equation of the line passing through the given point and slope is

y + 8x = 139