Given:
Equation : y=-7/6 x +3
passing through the points (-7,6)
Slope intercept equation (general)
y = mx + b
Where:
m= slope
b= y-intercept
m = -7/6
b= 3
• Parallel lines have equal slopes
m1= -7/6
y= -7/6x + b
Replace (x,y) for the given points (-7,6) and solve for b:
6 = -7/6 (-7) + b
6= 49/6 + b
6 - 49/6 = b
b = -13/6
Parallel line:
y= -7/6x - 13/6
• Perpendicular lines have negative inverse slopes.
m2= 6/7
Same process:
6 = 6/7 (-7) + b
6 = -6 + b
6+6 = b
b= 12
Perpendicular line
y= 6/7x + 12
Answer:
Parallel equation : y= -7/6x - 13/6
Perpendicular equation: y= 6/7x + 12