Which has a steeper slope y=-2x or y=-3x
2 answers:
Answer: y = -3x has the steeper slope
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Explanation:
Any linear equation is of the form y = mx+b, where m is the slope.
For y = -2x, the slope is -2. For y = -3x, the slope is -3.
We just look at the number to the left of x to find the slope.
To figure out which slope is steeper, we simply look to see which slope value is furthest from 0 on the number line. A slope of 0 itself is completely horizontal and flat. As the slope value moves away from zero, in either positive or negative direction, then the slope gets steeper and steeper.
In short, a slope of -3 is more steep compared to a slope of -2. Therefore, y = -3x is the answer.
The graph below helps visually confirm that y = -3x is indeed steeper. We drop one extra unit down each time we move to the right one space.
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Answer:
The answer is below
Step-by-step explanation:
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid.
Answer: Let the number of books be represented as x and the cost (dollars) be represented as y. From the table the ordered pairs in the form (x, y) can be gotten. (7, 21), (8, 24), (9, 27). To get the relationship between the number of books and the cost, we can use the formula of a straight line.
Using point (7, 21) and (8, 24):
When the number of books ordered is 1, 2, 3 the following pairs are:
For x = 1. y = 3x = 3(1) = 3
For x = 2 y=3x = 3(2) = 6
For x = 3 y = 3x = 3(3) = 9
The ordered pairs are (1, 3), (2, 6), (3, 9)
The graph is attached
To plot the ordered pairs, the number of books are plotted on the x coordinate and the cost on the y coordinate
