Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Explanation
Let's recall that the slope-intercept equation of a line has the form
[tex]y=mx+b,[/tex]where "m" is the slope, and "b" is the y-intercept. We know that the y-intercept is 4; then, our equation becomes
[tex]y=mx+4.[/tex]The trick to finding the slope is to note that the point (1,8) lies on the line; namely, we can evaluate the equation of the line in this point:
[tex]8=m\cdot1+4.[/tex]Solving this equation for m, we get
[tex]\begin{gathered} 8=m\cdot1+4, \\ 8=m+4, \\ 8-4=m+4-4, \\ 4=m, \\ m=4. \end{gathered}[/tex]AnswerThe equation of the line satisfying the provided conditions is
[tex]y=4x+4.[/tex]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
