Question

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation (-1,-2),3x-y=4

Answer 1

`y = 3x + 1`

Explanation:

First, turn
`3x - y = 4` around into Slope-Intercept Form:

3x - y = 4

-3x - 3x

________

−y = −3x + 4

`y = 3x - 4`

The rate of change [slope] is 3:

−2 = 3[−1] + b

−3

1 = b

`y = 3x + 1`

* Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so 3 remains the way it is.

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