Question

The equations given are in standard form. Put each equation in slope-intercept form. State the slope and the

yy-intercept.
1. 6x + 3y = 12 2. 5x + 7y = 14 3. 2x − 5y = −7

Answer 1

3.
`\displaystyle y = (2)/(5)x + 1(2)/(5)`

2.
`\displaystyle y = -(5)/(7)x + 2`

1.
`\displaystyle y = -2x + 4`

Explanation:

3. 2x - 5y = −7

- 2x - 2x

__________

`\displaystyle (-5y)/(-5) = (-2x - 7)/(-5) \\ \\ y = (2)/(5)x + 1(2)/(5)`

2. 5x + 7y = 14

- 5x - 5x

__________

`\displaystyle (7y)/(7) = (-5x + 14)/(7) \\ \\ y = -(5)/(7)x + 2`

1. 6x + 3y = 12

- 6x - 6x

__________

`\displaystyle (3y)/(3) = (-6x + 12)/(3) \\ \\ y = -2x + 4`

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