marthareed2010
Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A 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 helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.