Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

What is the slope-intercept form of a line?  What two specific pieces of information do you need to write an equation of a line in slope-intercept form?  Explain/discuss how you would find those two pieces of information if you were only given two points on the line.  Use the points (-3,1) and (3,-5) to illustrate this process.

Sagot :

The slope-intercept form of a line is:

y = ax + b

In which a is the slope and b is the y-intercept, which is the value of y when x = 0.

To write an equation in this form, we need the slope and the y-intercept.

Using two points, we find the slope a dividing the change in y by the change in x. Then, having a, we can replace one of these points into the equation, to find the intercept b.

In this question:

We have points (-3,1) and (3,-5)

Finding the slope:

Change in y: -5 - 1 = -6

Change in x: 3 - (-3) = 3 + 3 = 6

Slope: a = -6/6 = -1

So

y = -x + b

Using the point (-3,1), we have that when x = -3, y = 1. So

1 = -(-3) + b

1 = 3 + b

3 + b = 1

b = 1 - 3

b = -2

The equation is:

y = -x - 2

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.