Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

8x-y=16

Find the slope and y-intercept of the line with the given equation. Write a complete solution, showing all steps used in finding the slope and y-intercept and post it to the discussion board. What is the slope and what does it mean? What is the y-intercept and what does it mean?  Explain each step as if you were the expert explaining it to a novice.

Sagot :

The Equation 8x-y=16 is in what is called standard form. It is Written as Ax+By=C. We need to get to slope intercept form to answer the question. Slope intercept is Y=mx+b. M stands for the slope and B is the Y-intercept. We need to isolate Y on one side of the equation:

8x-y=16 Subtract 8x to isolate Y
-y=16-8x

Now we need to make Y positive, so we multiply the whole equation by -1

-1(-y)=-1(16)-1(-8x)
Y=-16+8x
Rewrite this in slope intercept to get:
Y=8x-16

The slope (m) is 8. The slope if the rise over run over the line. Say the line goes from (0,0) to (2,2), the slope would be 1 because 2/2=1

-16 is the y-intercept. When x=0, y=-16

I hope this helps. I can clarify any confusing steps.
Illuminati750
Hello, 

the general formula of the line is: y=mx+b

where "m" is the slope of the function. So we have to put our function in this form in order to find the slope, so:

8x-y=16
8x=16+y
8x-16=y
y=8x-16

Then: m=8

The positive slope implies that the function is increasing, if the slope is negative, the function is decreasing as I show you in the picture.

Now, if we want to get the y-intercept of the function we  have to analyze that the function intersects the "y" axis when x=0, so we replace x=0 in the function and find y:

8*(0)-y=16
-y=16
y=-16

Answer: m=8   and    y-intercept=-16
View image Illuminati750
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.