Like a is parallel to the line y= -1/2x + 6 and passes through the point (4,10). What is the equation of line a?

Question

It's algebra and I need help I am a confused 9th grader

Answer 1

Equation of the parallel line is in the form

y = -x/2 + b

Now substitute either pair to determine b. 

Answer 2

Parallel lines have the same slope. The slope of the given line is -1/2.

So the slope of line A is -1/2

 

(4,10) means x=4 when y=10 with slope M=-1/2

 

y = Mx + b

 

10 = (-1/2)(4) + B

 

10 = -2 + B

 

B = 12

 

The equation of line A is y = (-1/2)X + 12