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Given that a line has a slope of -3 and a point on the line is (2,-4), 1.what is the equation of the line in point-slope form? 2.how do we create slope-intercept form? *please show all work, step by step.
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Given that a line has a slope of -3 and a point on the line is (2,-4),

1.what is the equation of the line in point-slope form?
2.how do we create slope-intercept form?
*please show all work, step by step.

User Gaspard Merten
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1 Answer

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The equation in Point Slope Form is

y + 4 = -3(x - 2)

We can convert this to Slope-Intercept Form by isolating y.

y + 4 = -3(x - 2)
y + 4 = -3x + 6
Subbtract 4 from both sides.
y = -3x + 2

The equation in Slope-Intercept Form is y = -3x + 2.
User Mtrakal
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