apeaceofus2
Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

What is the equation of the line in slope intercept form using these points?

What Is The Equation Of The Line In Slope Intercept Form Using These Points class=

Sagot :

renknee

Answer:

y = -x - 1

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope given two points, we can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and plug in the corresponding variable.

  • [tex]\frac{5-(-2)}{-6-1}[/tex]
  • [tex]\frac{5+2}{-7}[/tex]
  • [tex]\frac{7}{-7}[/tex]
  • [tex]-1[/tex]

3. Okay, so the slope is -1x or just -x. This means that the equation looks like this so far: y = -x + b

4. To find b, the y-intercept, we can take the equation of [tex]b = y_1 - m * x_1[/tex] and plug in the values!

  • [tex]b = -2-(-1)*1[/tex]
  • [tex]b = -2 + 1 * 1[/tex]
  • [tex]b = -1 * 1[/tex]
  • [tex]b = -1[/tex]

5. Now that we have our y-intercept and slope, let's plug in those values and find the equation!

  • [tex]y = -x - 1[/tex]

Therefore, the equation of the line is y = -x - 1. I hope this helped you!

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.