Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Answer:
E) -4,7 and -2,8
Step-by-step explanation:
parallel lines have same slope
x - 2y = 16
y = 1/2 x -8 slope: 1/2
E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2
Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.
----------------------
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
- In which m is the slope.
- If two lines are parallel, they have the same slope.
- Given two points, the slope is given by change in y divided by change in x.
----------------------
The line given is:
[tex]x - 2y = 16[/tex]
In slope-intercept formula:
[tex]2y = x - 16[/tex]
[tex]y = \frac{x}{2} - 8[/tex]
----------------------
In this question, we want a line with an slope of 1/2.
At option E, the points are (-4,7) and (-2,8), thus, the slope is:
[tex]m = \frac{8 - 7}{-2 - (-4)} = \frac{1}{-2 + 4} = \frac{1}{2}[/tex]
Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.
A similar problem is given at https://brainly.com/question/22532445
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
