Question

find an equation of the line passing through the point (2,3) and parallel to the line 3x+4y-8=0

Answer 1

given
point (2,3) and the line 3x+4y-8=0
first we want to simplify 3x+4y-8=0 to
4y= -3x + 8
y = -(3/4)x + 2 since this is parallel to the line we wanted its slope m is the same
whats the slope m= ?

Answer 2

the slope is -3/4

Answer 3

if thats the slope we can use it to form equation of the line using the formula and the point (2,3)
y-y1=m(x - x1) try forming it using this formula

Answer 4

y-3=-3/4(x-2)

Answer 5

yesss...
now you can rearrange your answer to slope intercept form

Answer 6

that is where I get lost

Answer 7

ah ok, try to rearrange it to slope intercept form

Answer 8

so everything is alright now? :D
have fun solving now... :D