Question 475073
Here's one I just did.
Only the numbers are different.
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Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form.
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y = –x + 6 is in slope-intercept form, y = mx + b, where m = slope and b = the y-intercept.
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The slope of y = –x + 6 is -1
Parallel lines have the same slope, so the line thru (-4,2) will have a slope of -1 also.
Use y = mx + b and the point to find b
2 = -1*(-4) + b
b = -2
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--> y = -x - 2