Write an equation of the line that passes through (1,5) and is parallel to the line y=-4x+2

Question

Write an equation of the line that passes through (1,5) and is parallel to the line y=-4x+2

Answer 1

x₁ =1 y₁=5

slop m= -4

plug in the slope-intercept form

y=mx+b where b is the y-intercept

5= -4(1) +b

5= -4+b

b= 9

plug these values again in slope intercept form

y= mx +b

y= -4x+9

Answer 2

Use the definition of slope"

(y - 5) / (x - 1) = -4