Write the equation of the line with a slope of -1/3 and passing through the point (6, -4).
Ummm y = 1/3x - 4 I think... Not 100% sure though Its in SLope Intercept Form btw Y=Mx+B
\[y-y _{1}=m(x-x _{1})\]
y = mx + b y = -1/3x - 4
This is the equation of the line as it shows the slope, -1/3 and also the y-intercept, -4. This equations tells you where you need to start on the y axis if you are to graph this line and at what rise/run the line will be at.
I get it now, and thank you. Can you help me with a couple more that are similar to this one?
\[y-(-4)=\frac{ -1 }{ 3 }\left( x-6) \right)\] or 3(y+4)=-1(x-6) 3y+12=-x+6 3y=-x+6-12 3y=-x-6 \[y=-\frac{ 1 }{ 3 }x-2\]
put x=6,y=-4 \[-4=\frac{ -1 }{ 3 }*6-2=-2-2~or~-4=-4\] which is true . Hence point (6,-4)lies on this line and slope is -1/3
Join our real-time social learning platform and learn together with your friends!