Question 170365
THE LINE FORMULA IS:
Y=mX+b WHERE m=SLOPE & b=Y INTERCEPT.
SLOPE=(Y2-Y1)/(X2-X1)=(8+6)/(4+1)=14/5 SLOPE
NOW REPLACE THE X & Y TERMS WITH ONE SET OF (X,Y) POINTS & SOLVE FOR THE Y INTERCEPT b.
-6=-1*14/5+b
-6=-14/5+b
b=-6+14/5
b=(-6*5+14)/5
b=(-30+14)/5
b=-16/5 Y INTERCEPT.
Y=14X/5-16/5 ANS FOR THE LINE EQUATION.
{{{ graph( 300, 200, -6, 5, -10, 10, 14x/5 -16/5) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 14x/5 -16/5).