SOLUTION: Write an equation of the line that passes through P(0, 0) and is parallel to the line y=4x-7. Your answer should be written in slope-intercept form.
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-> SOLUTION: Write an equation of the line that passes through P(0, 0) and is parallel to the line y=4x-7. Your answer should be written in slope-intercept form.
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Question 1196698: Write an equation of the line that passes through P(0, 0) and is parallel to the line y=4x-7. Your answer should be written in slope-intercept form. Found 2 solutions by greenestamps, MathLover1:Answer by greenestamps(13200) (Show Source):
The given line has slope-intercept equation y = 4x-7;
the slope of the given line is 4;
any line parallel to the given line also has a slope of 4;
the equation of any line parallel to the given line has a slope-intercept equation of the form y=4x+b
Determine the value of b using the given required point (x,y) = (0,0):
y = 4x+b
0 = 4(0)+b
0 = 0+b
b = 0
The slope-intercept form of the specified equation is y = 4x+0, or just y = 4x.
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given:
P(, )
find: an equation of the line that passes through the given point and is parallel to the given line
recall that parallel lines have
since a slope of given line is , an equation of parallel line so far is
......use given point to find
equation of parallel line is
