How to write the slope intercept form of the equation of the line passes through (4,-1), and parallel y=2x-4?

1 Answer
Dec 18, 2016

Answer:

#y=2x-9#

Explanation:

Obtain the equation in #color(blue)"point-slope form"# to begin with.

#"That is " color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))#
where m represents the slope and # (x_1,y_1)" a point on the line"#

Note that #color(blue)"parallel lines have equal slopes"#

#y=2x-4" is in " color(blue)"slope-intercept form"#

#"That is " y=mx+b larr " slope is m"#

#rArr"slope " =2#

Using # m=2" and " (x_1,y_1)=(4,-1)#

#y-(-1)=2(x-4)rArry+1=2x-8#

#rArry=2x-9" is equation in slope-intercept form"#