Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
The answer is: y = - 150x + 8400
The two points are given in the (x, y) format. Meaning that
x1= 0 and y1 = 8400, while
x2 = 10 and y2 = 6900.
We are required to find the slope given two points (0, 8400) and (10, 6900).
This is easily done if we use the slope formula.
The slope formula is given below:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\text{Slope} \end{gathered}[/tex]Now we can proceed to finding the slope:
[tex]\begin{gathered} m=\frac{6900-8400}{10-0}=-\frac{1500}{10} \\ \\ \therefore m=-150 \end{gathered}[/tex]Now that we have the slope (m), we can also find the intercept (b) using the equation given in the question:
[tex]y=mx+b[/tex]Here we shall use any of the coordinates: (10, 6900) or (0, 8400)
Using (10, 6900) implies: x = 10 and y = 6900
Substituting these values into the equation above:
[tex]\begin{gathered} y=mx+b \\ y=6900, \\ x=10 \\ m=-150 \\ \\ 6900=-150\times10+b \\ 6900=-1500+b \\ \text{add 1500 to both sides} \\ \\ 6900+1500=-1500+1500+b \\ 8400=b \\ \therefore b=8400 \end{gathered}[/tex]Since we now have slope (m) and intercept (b), we can therefore write the equation as follows:
[tex]\begin{gathered} y=mx+b \\ m=-150 \\ b=8400 \\ \\ \therefore y=-150x+8400 \end{gathered}[/tex]The final answer is: y = - 150x + 8400
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
