the line parallel to y=-4/3x+1 with a y intercept of 3
please help i dont understand

Question

the line parallel to y=-4/3x+1 with a y intercept of 3 
please help i dont understand

ranga · Answer

Parallel lines have the same slope.

What is the slope of the line y=-4/3x+1   ?

anonymous · Answer

the slope would be -4/3

ranga · Answer

Yes.  And so the parallel line will also have the slope of -4/3

The general equation of a line in slope-intercept form is: y = mx + b
where m is the slope and b is the intercept.

For the parallel line, you already have slope m = -4/3 

They tell you the parallel line has the intercept 3 which means b = 3

Just plug them into y = mx + b and you will have the equation of the parallel line.

anonymous · Answer

y=-4/3x+3?

ranga · Answer

You got it!

anonymous · Answer

thanks that was pretty easy lol

ranga · Answer

you are welcome.  It is easy once you get familiar with it.