kcavender kcavender
  • 25-05-2018
  • Mathematics
contestada

write the equation of the line that passes through the point (6, -2) and is parallel to the line y = 1/2x - 4.

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MrGumby
MrGumby MrGumby
  • 31-05-2018
y = 1/2x - 5

We know the slope to be 1/2 because lines that are parallel have the same slope. Then we can solve using slope-intercept form and  the known point. 

y = mx + b ----> Input known values
-2 = (1/2)(6) + b ---> Multiple
-2 = 3 + b ----> Subtract 3 from both sides
-5 = b

Now we can use the y-intercept found and the slope to write the equation above. 
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