What is the equation in point-slope form and slope intercept form for the line given slope=-3 passing through (2,6)?

1 Answer
Apr 13, 2018

#y-6=-3(x-2),y=-3x+12#

Explanation:

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

#•color(white)(x)y-y_1=m(x-x_1)#

#"where m is the slope and "(x_1,y_1)" a point on the line"#

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

#•color(white)(x)y=mx+b#

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

#"here "m=-3" and "(x_1,y_1)=(2,6)#

#rArry-6=-3(x-2)larrcolor(red)"in point-slope form"#

#rArry-6=-3x+6#

#rArry=-3x+12larrcolor(red)"in slope-intercept form"#