Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Great question! To determine the linear inequality represented by the graph, let's analyze the given information.
We are told that the dashed straight line has a positive slope and goes through the points (-3, -7) and (0, 2).
To find the slope of the line, we can use the formula:
slope = (change in y) / (change in x)
Using the given points, we can calculate the slope:
slope = (2 - (-7)) / (0 - (-3))
= 9 / 3
= 3
Since the slope is positive, we can conclude that the line is ascending from left to right.
Now, let's look at the y-intercept. From the equation of a line (y = mx + b), the y-intercept is the value of y when x is 0. In this case, the y-intercept is 2.
Putting it all together, the equation of the line is y = 3x + 2.
Now, let's determine the shading. We are told that everything to the left of the line is shaded. Since the line has a positive slope, the shaded region should be below the line.
Therefore, the correct linear inequality represented by the graph is y < 3x + 2.
Does that make sense? Do you have any further questions?
We are told that the dashed straight line has a positive slope and goes through the points (-3, -7) and (0, 2).
To find the slope of the line, we can use the formula:
slope = (change in y) / (change in x)
Using the given points, we can calculate the slope:
slope = (2 - (-7)) / (0 - (-3))
= 9 / 3
= 3
Since the slope is positive, we can conclude that the line is ascending from left to right.
Now, let's look at the y-intercept. From the equation of a line (y = mx + b), the y-intercept is the value of y when x is 0. In this case, the y-intercept is 2.
Putting it all together, the equation of the line is y = 3x + 2.
Now, let's determine the shading. We are told that everything to the left of the line is shaded. Since the line has a positive slope, the shaded region should be below the line.
Therefore, the correct linear inequality represented by the graph is y < 3x + 2.
Does that make sense? Do you have any further questions?
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
