How do you write an equation of a line through (-1,-4) parallel to y=4x+5?

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Answer 1 · 2016-11-14T15:47:13

The equation of the line is #y=4x#

The equation of a line is #y=mx+c#

where #m# is the slope.

All parallel lines have the same slope.

#y=4x+5#

The slope is #m=4#

The equation of a line through #(x_0,y_0)# and of slope #m# is

#y-y_0=m(x-x_0)#

Here #(x_0,y_0)=(-1,-4)#

Therefore, the equation is #y+4=4(x+1)#

#=># #y+4=4x+4#

#=>##y=4x#
graph{(y-4x)(y-4x-5)=0 [-6.244, 6.243, -3.12, 3.123]}