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s344n2d4d5 [400]
3 years ago
11

Write the equation of line in slope-intercept form. Line parallel to y=−2x+3 that passes through the point (−100,−100)

Mathematics
2 answers:
Tems11 [23]3 years ago
4 0

The line with equation y = -2x + 3 has a slope of -2

The line parallel to line with equation y = -2x + 3 has a slope of -2

This is because parallel lines have the same slope

Taking a point (x,y) along the parallel line passing through (-100,-100)

Slope = change in y-axis divide by change in x-axis

-2 = (y - -100) ÷ (x - -100)

-2(x + 100)  = y + 100

y = -2x - 300

GrogVix [38]3 years ago
3 0

Remark

The line you want is parallel to y = - 2x + 3

That means it has the same slope as the given line.  The given line has a slope of  -2

y = -2x + b is what you have so far. Now you have to use the point to get b

y = - 100

x = - 100

Solve for b

-100 = -2(-100) + b

-100 = 200 + b       Notice the sign change. Two minus's make a plus. Subtract 200 from both sides.

- 100 - 200 = b

- 300 = b

Answer

y = - 2x - 100

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