Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Given: The point and the slope below
[tex]\begin{gathered} Point:(18,-5) \\ slope=-8 \end{gathered}[/tex]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
[tex]\begin{gathered} Point:(x_1,y_1) \\ Slope=m \\ \frac{y-y_1}{x-x_1}=m \end{gathered}[/tex]Substitute the given into the formula
[tex]\begin{gathered} \frac{y--5}{x-18}=-8 \\ \frac{y+5}{x-18}=-8 \end{gathered}[/tex][tex]\begin{gathered} y+5=-8(x-18) \\ y+5=-8x+144 \\ y+8x=144-5 \\ y+8x=139 \end{gathered}[/tex]Hence, the equation of the line passing through the given point and slope is
y + 8x = 139
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
