Question

How do you write the equation of the line parallel to 4x-6y=-1 with y intercept -5 in general form?

Answer 1

`2x-3y-15=0`

Explanation:

`"the equation of a line in "color(blue)"general form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By+C=0)color(white)(2/2)|)))`

`"where A is a positive integer and B, C are integers"`

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+c`

`"where m is the slope and c the y-intercept"`

`"rearrange "4x-6y=-1" into this form"`

`y=2/3x+1/6larr" with "m=2/3`

`• " Parallel lines have equal slopes"`

`"equation of parallel line is"`

`y=2/3x-5larrcolor(blue)"in slope-intercept form"`

`"multiply all terms by 3"`

`3y=2x-15`

`2x-3y-15=0larrcolor(red)"in general form"`