Mathematics: Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction y = 5 x + 3 y = one-fifth x + StartFraction 3 Over 25 EndFraction y = one-half x + 6

Use the points from coordinates likely x and put that into the equation. If it satisfies the equation then that is your correct answer....

Consider this system of equations. Which shows the

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smariedegray

26.01.2022

Mathematics

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

y = 3x - 2.

$10(x + \frac{3}{5} ) = 2y$

A. $y = 5x + \frac{3}{10}$

B. y = 5x + 3

C. $y = \frac{1}{5} x + \frac{3}{25}$

D. $y = \frac{1}{2} x + 6$

B. y = 5x + 3

Step-by-step explanation:

Given

Equation 1: y = 3x - 2.

Equation 2: $10(x + \frac{3}{5} ) = 2y$

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

$10(x + \frac{3}{5} ) = 2y$

Open the bracket

$10*x + 10 *\frac{3}{5} = 2y$

$10x + \frac{30}{5} = 2y$

Simplify fraction

10x + 6 = 2y

Divide through by 2

$\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}$

5x + 3 = y

Re-arrange

y = 5x + 3

The next step is to compare each of option A through D with y = 5x + 3

$y = 5x + \frac{3}{10}$ is not equal to y = 5x + 3

We check the next available option

y = 5x + 3 is equal to

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

$y = \frac{1}{5} x + \frac{3}{25}$

Convert fraction to decimal

y = 0.2x + 0.12

This is not equal to y = 5x + 3

$y = \frac{1}{2} x + 6$

Convert fraction to decimal

y = 0.5x + 6

This is not equal to y = 5x + 3

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

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Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction y = 5 x + 3 y = one-fifth x + StartFraction 3 Over 25 EndFraction y = one-half x + 6

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