Answer:
- 1) y = - 4x + b;
- 2) y = - 3x + 17.
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Question 1
Given line:
We know that perpendicular lines have opposite-reciprocal slopes.
Perpendicular line to the given has a slope of m = - 1 / (1/4) = - 4.
Let the y-intercept be b, then the line is:
Question 2
Given line:
We know parallel lines have equal slopes.
The parallel line to the given has a slope of m = - 3 and passes through point (3, 8).
Set the point-slope equation:
Convert this into slope-intercept form:
- y - 8 = - 3x + 9
- y = - 3x + 9 + 8
- y = - 3x + 17