9514 1404 393
Answer:
- 0 < x < 4
- (- ∞ < x < 0) ∪ (4 < x < ∞)
- x ∈ {0, 4}
Step-by-step explanation:
1. The solution is the set of x-values for which the graph is above the x-axis, where y = 0. Those x-values are in the interval (0, 4).
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2. The solution is the set of x-values for which the graph is below the x-axis. Those x-values are in either of the two intervals (-∞, 0) or (4, ∞).
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3. The x-intercepts of the graph are x=0 or x=4.
Answer:
-7/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-8)/(6-1)
m=-7/5
Answer:
A.-3/7
Step-by-step explanation:
the slope formula is
m = (y2 - y1) / (x2-x1)
The point (4, 2) is (x1, y1) and the point (-3, 5) is (x2, y2). Now you have to substitute in the slope formula:
m = (5 - 2) / (-3 - 4)
m = 3 / -7
m = -3/7
0.48
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<span>In this formula :
</span><span>y </span>tells us how far up the line goes
<span>x </span>tells us how far along
<span>m </span>is the Slope or Gradient i.e. how steep the line is
<span>b </span>is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the<span> line properties.</span><span> We shall now graph the line </span><span> 3x+2y-62 = 0</span><span> and calculate its properties
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Notice that when x = 0 the value of y is 31/1 so this line "cuts" the y axis at y=31.00000
<span> y-intercept = 62/2 = 31
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When y = 0 the value of x is 62/3 Our line therefore "cuts" the x axis at x=20.66667
<span> x-intercept = 62/3 = 20.66667
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Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 31.000 and for x=2.000, the value of y is 28.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 28.000 - 31.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
<span> Slope = -3.000/2.000 = -1.500
</span><span>
1.Slope = -3.000/2.000 = -1.500
2.x-intercept = 62/3 = 20.66667<span>
3.y-intercept = 62/2 = 31
I got sources from a few websites so excuse if something is weird/wrong.
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