SOLUTION: Find the equation of a line which passes through point (7, -7) and is parallel to the line formed by the equation y = -x - 4. Express it in slope-intercept form. Find the equation

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Question 728442: Find the equation of a line which passes through point (7, -7) and is parallel to the line formed by the equation y = -x - 4. Express it in slope-intercept form.
Find the equation of a line which passes through point (-7, 1) and is parallel to the line formed by the equation y = 6x + 8. Express it in slope-intercept form.
Find the equation of a line which passes through point (-2, -7) and is parallel to the line formed by the equation y = 5x + 4. Express it in slope-intercept form.
Find the equation of a line which passes through point (-2, 3) and is parallel to the line formed by the equation y = 4x + 7. Express it in slope-intercept form.
Find the equation of a line which passes through point (4, -5) and is parallel to the line formed by the equation y = 3x - 5. Express it in slope-intercept form.
Find the equation of a line which passes through point (6, 8) and is perpendicular to the line formed by the equation y = 6x + 1. Express it in slope-intercept form.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the equation of a line which passes through point (7,-7) and is parallel to the line formed by the equation y = -x - 4. Express it in slope-intercept form.
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y = -x-1 is in slope-intercept form y = mx + b
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The slope of y = -x - 4 is -1
Parallel lines have the same slope.
Use y = mx + b and the point to find b, the y-intercept
-7 = -1*7 + b
b = 0
--> y = -x
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Find the equation of a line which passes through point (-7, 1) and is parallel to the line formed by the equation y = 6x + 8. Express it in slope-intercept form.
Same as above.
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Find the equation of a line which passes through point (-2, -7) and is parallel to the line formed by the equation y = 5x + 4. Express it in slope-intercept form.
Same as above.
-----------------
Find the equation of a line which passes through point (-2, 3) and is parallel to the line formed by the equation y = 4x + 7. Express it in slope-intercept form.
Same as above.
-----------------
Find the equation of a line which passes through point (4, -5) and is parallel to the line formed by the equation y = 3x - 5. Express it in slope-intercept form.
Same as above.
-----------------
Find the equation of a line which passes through point (6, 8) and is perpendicular to the line formed by the equation y = 6x + 1. Express it in slope-intercept form.
The slope of the given line is 6.
The slope of perpendicular is the negative inverse = -1/6.
Use that, same as #1 above.

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