p00p3yh3ad
Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

What is the x and y intercept of y=1/3x-2, y=12-6x, and y=3x-7? Please show work!

Sagot :

chetankachana

Answer:

y = 1/3x - 2:

  • y - intercept: - 2
  • x - intercept: 6

y = 12 - 6x:

  • y - intercept: 12
  • x - intercept: 2

y = 3x - 7:

  • y - intercept: -7
  • x - intercept: 7/3

Step-by-step explanation:

Hello!

Slope Intercept Form

The slope-intercept form of a line is [tex]y = mx + b[/tex]

  • y = output, ordinate
  • m = slope
  • x = input, abscissa
  • b = y-intercept

y = 1/3x - 2

The y-intercept is the "b" value of the line, given as -2.

To find the x-intercept, we simply replace the y-value with 0:

  • 0 = 1/3x - 2
  • 2 = 1/3x
  • 6 = x

y - intercept: - 2

x - intercept: 6

____________________________________________________

y = 12 - 6x

You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.

Solving for the x-intercept (remember, replace y with 0):

  • 0 = -6x + 12
  • -12 = -6x
  • 2 = x

y - intercept: 12

x - intercept: 2

____________________________________________________

y = 3x - 7

Simply take the "b" value, -7, to find the y-intercept of -7.

Solve for the x-intercept:

  • 0 = 3x - 7
  • 7 = 3x
  • x = 7/3

y - intercept: -7

x - intercept: 7/3

Additional Note:

You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.

The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.