Question

how to find the equation of a line
passesthrough (1,4) and is parallel to y=-4x-5

Answer 1

y=mx+b m=slope

so the equation that you want to find will have 1 for x and 4 for y and will have the same slope (-4) as y=-4x-5 but different 'b' value so

y=-4x
if we subsitute 1 for x we get
y=-4
which is not correct we want
x=1 and y=4 so
y=-4+8=4 so
y=-4x+8 is the equation

Answer 2

y=mx+b m=slope

1 for x and 4 for y

same slope (-4) as y= -4x-5

Different 'b' value

x=1 and y=4

y= -4+8=4

The equation is y= -4x+8

Hope this Helps!!!!