Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

7. Write the equation of a line which passes through the points (-3,5) and (6,23)

Sagot :

towl35

Answer:

answer to the equation is

[tex]y = 2x + 11[/tex]

Step-by-step explanation:

[tex]y = mx + b[/tex]

first find the slope of the line using the two points

[tex]slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2[/tex]

substitute 2 for m and use one of the points for x and y and solve for b

[tex]5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11[/tex]

Now that you found b, the y-intercept, you can substitute that into the equation for your line

[tex]y = 2x + 11[/tex]

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.