Question

Use the point-slope form of the straight line to find the equation of the straight line which passes through the point (2, 1) and is parallel to the line 5x + y = 1.

Answer 1

y=-5x+6

Explanation:

the two lines are parallel so they have the same slope and if you put the like in y=mx+b it would be y=-5x+1 so the slope is -5

Then you need to put it into point slope for to figure it out y-y1=m(x-x1)

y-1=-5(x-1) (simplify)

y-1=-5x+5 (add 1 to both sides)

y=-5x+6