Question

What is the equation , , in slope-intercept form , , of the line parallel to − 5 x y = 2 −5x y=2 that passes through the point with coordinates ( − 2 , 1 )

Answer 1

y=5x+11

Step-by-step explanation:

point slope form:y-y¹=m(x-x²)

where y¹ is the given y-coordinate and m is the given slope and x² is the given x-coordinate.

-5x+y=2--> y=5x+2

since the line is parallel to the given equation, both lines have the same slope.

So, plug in the given coordinates into the point slope form.

y-1=5(x-(-2)) --> y-1=5(x+2)

Now distribute,

y-1=5x+10 --> y=5x+11

So, the equation is y=5x+11