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kirill115 [55]
3 years ago
13

Whats the inequality in the graph?

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0

Answer:

y=2x-5

Step-by-step explanation:

Slope is rise over run, or y/x

The points given were (0,-5) and (-1,-3)

Using y2-y1/x2-x1 we can find the slope.

-3-(-5)/-1-0 = 2/-1 = -2 = slope

Next, we have to find the y-intercept. The y-intercept is where the point on the line meets the y-axis.

This point is shown at -5.

Now, putting our information into y=mx+b (slope-intercept form)

y=2x-5

2 is our slope

-5 is our y intercept

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Which equation has a graph that is perpendicular to the graph of -x + 6y = -12?
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Answer:

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Step-by-step explanation:

If the equation is of the form    : y = mx  + C.

Here m = slope of the equation.

Two equations are said to be perpendicular if the product of their respective slopes is -1.

Here, equation 1 :  -x + 6y = -12

or, 6y = -12  + x

or, y = (x/6)  - 2

⇒Slope of line 1 = (1/6)

Now, for equation 2  to be  perpendicular:

Check for each equation:

a. x + 6y = -67       ⇒  6y = -67  - x

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b. x - 6y = -52   ⇒  -6y = -52  - x

or, y = (x/6)  + (52/6)      ⇒Slope of line 2 = (1/6)

but \frac{1}{6} \times \frac{1}{6}  \neq -1

c. 6x + y = -52    

or, y =y = -52  - 6x      ⇒Slope of line 2 = (-6)

\frac{1}{6} \times (-6)  =  -1

Hence, 6x + y = -52  is required equation 2.

d. 6x - y = 52  ⇒  -y = 52  - 6x

or, y = 6x   - 52      ⇒Slope of line 2 = (6)

but \frac{1}{6} \times 6  \neq -1

Hence,  6x + y = -52  is  the  only required equation .

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