Which letter represents the slope in the linear equation y = mx + b?
2 answers:
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Answer:
Parallel line - y=6x+9
Perpendicular line - y=-1/6x +4
Step-by-step explanation:
Parallel lines have a slope that is equal to the origninal equation. You use the y-y1=m(x-x1) equation. In this case, your y1 is 3 and your x1 is -1. Plug these into the equation along with your slope of 6.
y-y1=m(x-x1)
y-3=6(x-(-1))
y-3=6(x+1)
y-3=6x+6 - Distribute
+3 +3 - Add 3 to both sides
y=6x+9
For perpendicular lines, the slope is the negative reciprocal of the given slope. In this case, the slope is -1/6. Your y1 is 4 and your x1 is 0.
y-y1=m(x-x1)
Distribute:
+4 +4
Add 4 to both sides:
