Question

The equation of line 2 is y = 4x - 7. Find line 1 given that line 1 is parallel to line 2 and has y-intercept (0,2).

Answer 1

Answer:

hi! this may all seem confusing but don't worry it's easy once you get it!

so we have a line this line y=4x-7 is what we will use to plugin our point

and (0,2) is your point!

2=4(0)+b

2=b

and usually you don't have to do that (HINT: if it's 0,a number it's already b like the number that isn't 0 is b aka the y intercept)

y=4x + 2 would be the answer!

REMEMBER: Parallel is always the same so you will use the SAME SLOPE!

Well what is the slope? Slope is always mx! you can find it using the slope formula if it is not given, like this equation it was given

If this said PERPENDICULAR then it would be negative reciprocal of your slope and same equation!

hope this helps :)

new question:  write an equation of the line that contains the point (1,5) and have the same y-intercept as the line 2x+3y=6

so we need to move this from standard form to slope intercept

2x + 3y=6

-3y= -2x + 6

y= 2/3x - 2

now we've solved!  our y intercept is now -2 and slope is 2/3x

okay and now let's plug it in!

again let's plugin our point

5= 2/3 (1) + b

4 1/3= b

so! y= 2/3x - 4 1/3