1) The equation of the parallel line in Slope Intercept Form is; y = -x - 1
2) The equation of the perpendicular line in Slope Intercept Form is;
y = ³/₂x - 4
How to write equation in Slope Intercept Form?
1) When two lines are parallel, it means their slopes are the same.
Formula for equation in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, slope of y = -x + 1 is m = -1.
Equation of parallel line is;
(y - (-5))/(x - 4) = -1
y + 5 = -x + 4
y = -x - 1
2) When two lines are perpendicular, it means their slopes are the negative inverse of each other. Thus;
Slope of line = -2/3 and so slope of perpendicular line = 3/2. Thus, equation of new line is;
(y + 1)/(x - 2) = 3/2
2y + 2 = 3x - 6
2y = 3x - 8
y = ³/₂x - 4
Read more about slope intercept form at; https://brainly.com/question/1884491
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