Show all work to write the equations of the lines, representing the following conditions, in the form y = mx + b, where m is the slope and b

Question

Show all work to write the equations of the lines, representing the following conditions, in the form y = mx + b, where m is the slope and b is the y-intercept:

Part A: Passes through (−2, 2) and parallel to 4x − 3y − 7 = 0 (2 points)

Part B: Passes through (−2, 2) and perpendicular to 4x − 3y − 7 = 0 (2 points)

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2 weeks 2022-01-08T16:33:58+00:00 1 Answer 0 views 0

Part A) Part B) Step-by-step explanation:

Part A) Passes through (−2, 2) and parallel to 4x − 3y − 7 = 0

we have Isolate he variable y  The slope of the given line is Remember that

If two lines are parallel then their slopes are the same

therefore

The slope of the line parallel to the given line is also Find the equation of the line in slope intercept form we have  substitute solve for b  therefore Part B) Passes through (−2, 2) and perpendicular to 4x − 3y − 7 = 0

we have Isolate he variable y  The slope of the given line is Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

therefore

The slope of the line perpendicular to the given line is Find the equation of the line in slope intercept form we have  substitute solve for b  therefore 