How do you write the equation in point slope form given (-1,2) and parallel to the line whose equation is 3x-2y=7?

1 Answer
Sep 4, 2017

Answer:

#y-2=3/2(x+1)#

Explanation:

#"the first thing to know is that"#

#• " parallel lines have equal slopes"#

#"to obtain the slope rearrange "3x-2y=7#
#"into "color(blue)"slope-intercept form"#

#•color(white)(x)y=mx+b#

#"where m represents the slope and b the y-intercept"#

#3x-2y=7#

#rArr-2y=-3x+7#

#rArry=3/2x-7/2larrcolor(red)" in slope-intercept form"#

#rArrm=3/2#

#"expressing the equation in "color(blue)"point-slope form"#

#•color(white)(x)y=y_1=m(x-x_1)#

#"with "m=3/2" and "(x_1,y_1)=(-1,2)#

#rArry-2=3/2(x+1)#