3. Write an equation of the line that passes through (6, -2) with slope -3.
A. y = 6x - 3
B. y = -3x
C. y = -2x + 6
D. y = -3x +16

Question

3. Write an equation of the line that passes through (6, -2) with slope -3.
A.		 y = 6x - 3
B.		 y = -3x
C.		 y = -2x + 6
D.		 y = -3x +16

anonymous · Answer

The equation of any line is of the form   y=mx+b
"m" is the slope and "b" is the initial value.

Obviously, it's B, C or D since the slope is -3. So your equation is of the form y=-3x+b. Now you need to find "b". You have a point (x,y): (6,-2). You can plug that into your equation and slove for b.

y=-3x+b
(-2)=-3(6)+b

anonymous · Answer

d

anonymous · Answer

i think

anonymous · Answer

Yup!

parthkohli · Answer

An easier way to use is the point-slope form:$$y - y_1 = m(x - x_1)$$So you have the point $(6,-2)$ and the slope $-3$.

You can write the point-slope in this case as follows:$$y - (-2) = -3(x - 6)$$Can you simplify that? :)

anonymous · Answer

thank you everyone!!!

anonymous · Answer

Parth, students don't usually that form of a line... I would try to stick to the method they learn not to confuse them :P

parthkohli · Answer

@BluFoot: Haha, okay... but this form is really convenient :)