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diamong [38]
3 years ago
13

Write an inequality, in slope-intercept form, for the graph below. If necessary,

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:not 100 % sure but I can write a slope intercept form equation, but not an inequality. I would need a picture of the graph to write an inequality.

First find slope: (y2 - y1)/(x2 - x1)   Slope is 3

Choose a point then use point slope form y - y1 = m(x - x1)      It is y - 1 = 3(x - 1)

Now simplify:

y - 1 = 3(x - 1)

y - 1 = 3x - 3

y = 3x - 2

y = 3x - 2

Step-by-step explanation:

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Anni [7]
<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}

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\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope

Then:

k=\frac{2-0}{1-0}=2

Finally, the equation of the line is:

\boxed{y=2x}

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