Description
Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9
Explanation & Answer
Thank you for the opportunity to help you with your question!
To determine whether the equation is linear, we select 3 points on the line and calculate 2 slopes from the points if they are equal, then the equation is linear. We substitute values of x into the equation to obtain y values.
These points are; (0,-9/5), (1,-1/5), (2,7/5)
Slope
1. (-1/5-(-9/5))/(1-0) = (8/5)/1 = 8/5 =1.6
2. (7/5-(-1/5))/2-1 =( 8/5)/1 = 8/5 = 1.6
It is linear.
y = mx + b
8x = 5y + 9
5y =8x-9
dividing the equation by 5
y= 8/5x - 9/5
y= 1.6x -1.8
Please let me know if you need any clarification. I'm always happy to answer your questions.Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
The Bell Jar
by Sylvia Plath
Jane Eyre
by Charlotte Brontë
Oliver Twist
by Charles Dickens
The Eyes Were Watching God
by Zora Neale Hurston
The Road
by Cormac McCarthy
The Second Sex
by Simone de Beauvoir
The King Must Die
by Mary Renault
The Two Towers
by J. R. R. Tolkien
Dandelion Wine
by Ray Bradbury