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s344n2d4d5 [400]
3 years ago
11

Write the equation of line in slope-intercept form. Line parallel to y=−2x+3 that passes through the point (−100,−100)

Mathematics
2 answers:
Tems11 [23]3 years ago
4 0

The line with equation y = -2x + 3 has a slope of -2

The line parallel to line with equation y = -2x + 3 has a slope of -2

This is because parallel lines have the same slope

Taking a point (x,y) along the parallel line passing through (-100,-100)

Slope = change in y-axis divide by change in x-axis

-2 = (y - -100) ÷ (x - -100)

-2(x + 100)  = y + 100

y = -2x - 300

GrogVix [38]3 years ago
3 0

Remark

The line you want is parallel to y = - 2x + 3

That means it has the same slope as the given line.  The given line has a slope of  -2

y = -2x + b is what you have so far. Now you have to use the point to get b

y = - 100

x = - 100

Solve for b

-100 = -2(-100) + b

-100 = 200 + b       Notice the sign change. Two minus's make a plus. Subtract 200 from both sides.

- 100 - 200 = b

- 300 = b

Answer

y = - 2x - 100

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3 years ago
Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&
sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0
2 years ago
Simplify (x^2 y^3) (x^4 y^2)<br> a. X^6y^5<br> b. x^8y^6<br> c. 2x^8y^6<br> d. 2x^6y^5
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2. Find the slope through (y2-y1) / (x2-x1)
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3. a. standard form
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