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Sagot :
a) P1 = (4, -2)
Parallel 4x + 7y = 9
1.- Find the slope of the parallel line
7y = -4x + 9
y = -4x/7 + 9/7
slope = m = -4/7
2.- Find the equation of the line
y - y1 = m(x - x1)
y + 2 = -4/7(x + 4)
3. Simplifying
y = -4x/7 - 16/7 - 2
4.- Result
y = -4x/7 - 30/7 This is the parallel line
b) Perpendicular
slope = m = 7/4
1.- Equation of the line
y + 2 = 7/4(x - 4)
2.- Simplifying
y + 2 = 7x/4 - 7
y = 7x/4 - 7 - 2
3.- Result
y = 7x/4 - 9 This is the perpendicular line
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