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3 years ago

Which is the correct pair?

Mathematics

1 answer:

Art [367]3 years ago

7 0

Answer: D

Step-by-step explanation:

Since we are given that the x value is -1, we can eliminate A and C because the -1 is in the y coordinate.

To find the proper y value, we plug x into the equation.

y=-2x+5 [plug in x=-1]

y=-2(-1)+5 [multiply -2 and -1]

y=2+5 [add 2 and 5]

y=7

Now that we have the y value, we know the coordinate (-1,7) which makes D the correct answer.

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Changing the equation into slope form: $y = mx + c$ , where $m$ is the slope [gradient] and $c$ is the y-intercept.

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The gradient is $- \frac{2}{3}$ and y-intercept is at $y=490$

Graphing $y=- \frac{2}{3}x+490$ using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
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The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

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Next month's profit equation

$2x+3y=1593$

Rewriting this into slope-equation form

$3y = -2x+1593$
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$y= - \frac{2}{3}+531$

The gradient, $m$ , equals to $- \frac{2}{3}$
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The equation still has the same gradient with last month's profit equation but different y-intercept.

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A linear graph show points of (0, 300) and (450, 0)

We work out the slope:
$\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30} =- \frac{2}{3}$

Y-intercept at x = 0, so it's at y = 300

Equation $y = - \frac{2}{3}+300$

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Answer:

Step-by-step explanation:

The slope-intercept form:

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m - slope

b - y-intercept

Parallel lines have the same slope.

We have y = 4x + 2 → m = 4.

The slope of parallel line is m = 4 and the y-intercept b = 4.

Therefore we have the equation of a line:

$y=4x+4$

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Answer:

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