marthareed2010
Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

A line with a slope of 8 goes through the point (2, 27). It also goes through the point (-2,p). What is the value of p?.

Sagot :

cinderofsoulsss

Answer:

The value of p is -5.

Step-by-step explanation:

Given the slope and a known point, you have 3 of the 4 variables and you can use them to solve for the y-intercept of the line.

[tex]y=mx+b\\(27)=(8)(2)+b\\27=16+b\\11=b\\b=11[/tex]

Now, with the slope and the y-intercept, you can write the equation of the line:

[tex]y=8x+11[/tex]

Finally, you can use that equation to solve for y at x = -2:

[tex]y=8(-2)+11\\y=-16+11\\y=-5[/tex]

The value of p is -5.

You can also see that on a graph.

View image cinderofsoulsss
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.