Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Answer:
y=3/2x+15
Step-by-step explanation:
Hi there!
We are given that a line passes through the point (-4,9) and has a slope of 3/2
We want to write the equation of this line in slope-intercept form
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept
Since we are given the slope of the line already (3/2), we can plug it in as m into the equation.
y=3/2x+b
Now we must solve for b
As the equation passes through the point (-4, 9), it means that the point is a solution to the equation, meaning that it will result in a true statement when you plug its values into the equation
So let's plug the -4 as x and 9 as y into the equation
9=3/2(-4)+b
Multiply
9=-6+b
Add 6 to both sides
15=b
Substitute 15 as b into the equation
y=3/2x+15
Hope this helps!
Here is a link to a similar problem if you would like more practice: https://brainly.com/question/25508767
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.