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3 years ago

1. Write the equation to solve for y (Write in slope-intercept form). 6x - 2y = 14*

Mathematics

2 answers:

prisoha [69]3 years ago

3 0

Answer:

- 2y = 14 - 6x

Step-by-step explanation:

6x - 2y = 14

subtract 6x from each side

- 2y = 14 - 6x

inn [45]3 years ago

3 0

Answer:

2y = 6x - 14

Step-by-step explanation:

slope-intercept: y = mx + b

When rearranging equations, you must add/subtract each term that is being moved to the other side of the equation accordingly.

6x - 2y + 2y = 14 - 14

6x - 14 = 2y

2y = 6x - 14

I checked this on desmos.com to confirm.

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<h3><u>Solution</u>:-</h3>

The equation of any straight line can be written as in slope intercept form as -

$\green{ \underline { \boxed{ \sf{y=mx+c}}}}$

where,

m is its slope
c is its y-intercept.

<em><u>Given equation:- </u></em>

$\begin{gathered}\\\implies\quad \sf 5x+y = 10 \\\end{gathered}$

<u>Arranging it in slope intercept form by transposing 5x to RHS </u>

$\begin{gathered}\\\implies\quad \sf y = 10 -5x \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf y = -5x +10\\\end{gathered}$

$\leadsto$ Comparing the equation y = -5x +10 with the standard form of the equation, we get -

$\quad \bull\: \sf m= -5$

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Answer:

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Step-by-step explanation:

- 18 x 2 = -36

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