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DanielleElmas [232]
3 years ago
13

The equation of line AB is y = 2x + 4. Write an equation of a line parallel to line AB in slope-intercept form that contains poi

nt (3, −2). A. y = 2x + 4 B. y = negative 1 over 2 , x − 1 over 2 C. y = − 1 over 2 , x − 7 over 2 D. y = 2x − 8
Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

Answer:

<h3>The answer is option D</h3>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

y = 2x + 4

comparing with the above equation for a line

The slope / m = 2

Since the lines are parallel their slope are also the same

Slope of parallel line = 2

So we have

The equation of the line using point

( 3 , -2) and slope 2 is

y + 2 = 2( x - 3)

y + 2 = 2x - 6

y = 2x - 6 - 2

We have the final answer as

<h3>y = 2x - 8</h3>

Hope this helps you

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What is the equation in slope-intercept form of the linear function represented by the table?
umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5).  Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains.  Take any two points and plug it into this: \frac{y_{2}-y_{1} }{x_{2}-x_{1}}.

i.e. (-2,11) and (4,5): \frac{11-5}{-2-4} which is \frac{6}{-6}, or -1.  Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept.  Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0.  We now know that the y-intercept is (0,y).  To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

14 - 5 = 5 + b - 5

9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

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2 years ago
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What’s your question ?
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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

I think its B and K, they both have 2 sets of parallel lines and they have no congruent sides. Also they look similar. Sorry if this doesn't help.

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