Question 170382
(3,9),(5,13),(15,33),(34,71),(678,1359), and (1234,2471) all lie on line M.
First we find the slope=(y2-y1)/(x2-x1)
Slope=(13-9)/(5-3)=4/2=2 for this slope.
Now replace one set of (x,y) values in the line equation Y=mX+b & solve for the y intercept (b).
9=2*3+b
9=6+b
b=9-6
b=3 the y intercept for line M.
Thus the equation for this line M is:
y=2x+3 Equaton for line M (red line)
--------------------------------------
(3,-9),(5,-11),(15,-21),(34,-40),(678,-684), and (1234,-1240) all lie on line N.
Doing the for these points & line:
slope=(-11+9)/(5-3)=-2/2=-1 for this slope.
-9=-1*3+b
-9=-3+b
b=-9+3
b=-6 the y intercept.
Thus the equation for this line is:
y=-x-6 Equation for line N (green line)
{{{ graph( 300, 200, -6, 5, -10, 10, 2x +3, -x -6) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x +3 and -x -6).
Intercept=(-3,-3)
X axis intercept for M=-1.5, for N=-6
Y axis intercept for M=3, for N=-6