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What is the equation of the line that passes through the point (-1,9) and is parallel to the line y=-5x+7?

User Buddha
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1 Answer

11 votes

Answer:

Y=5x+14

Step-by-step explanation:

here, x=-1 y= 9

the equation of the line in slope intercept form is

y=mx+b

the slope(m)= 5

y intercept (b)= 7

note that slope of parallel lines are the same

then the equation

y= mx+b

substituting

9= 5(-1)+b

9 = -5+b

9+5 =b

14 = b

b= 14

therefore, y intercept of the parallel line will be 14.

finally, the equation of the parallel line will be

Y= 5x+14

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