Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The lines represented by the equations y=x+5 and 2y-2x=10 are

Sagot :

akposevictor

The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.

Recall:

  • Two lines that are parallel will have the same slope value.
  • Two lines that are perpendicular to each other will have slopes that are negative reciprocal of each other.
  • Equation representing a line in slope-intercept form is: y = mx + b, where m is the slope.

Given:

y = x + 5

2y - 2x = 10

The slope of y = x + 5 is 1.

Rewrite 2y - 2x = 10 in slope-intercept form to determine its slope.

2y - 2x = 10

2y = 2x + 10

  • Divide both sides by 2

y = x + 5

Thus, the slope of y = x + 5 (2y - 2x = 10) is also 1.

The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.

Learn more about slope of parallel lines on:

https://brainly.com/question/10790818

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.