Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope of fraction 1 over 2 ? Select one: a. y − 6 = fraction 1 over 2 (x + 3) b. y = fraction 1 over 2 x − 6 c. y + 3 =

2 Answers
turksvids
Jan 1, 2018

#y+3=1/2(x-6)#

Explanation:

Point-slope form looks like:

#y-y_0=m(x-x_0)#

where #(x_0,y_0)# is the point you know and #m# is the slope.
We know the point #(6,-3)# and the slope #m=1/2# so:

#y-(-3) = (1/2)(x-6)#

which simplifies a bit to:

#y+3=1/2(x-6)#.

That doesn't seem to be any of the options typed up, but it's the answer for point-slope form.

Jim G.
Jan 1, 2018

#y+3=1/2(x-6)#

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"#

#"here "m=1/2" and "(x_1,y_1)=(6,-3)#

#rArry+3=1/2(x-6)larrcolor(red)"in point-slope form"#

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