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

##### 1 Answer

Aug 11, 2018

#### 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"#