Question 97146
THE LINE EQUATION IS Y=mX+b WHERE (m)=THE SLOPE & (b)=Y INTERCEPT.
SLOPE IS CALCULATED THUS:
(Y2-Y1)/(X2-X1)
(22-10)/(12-8)
12/4=3 FOR THE SLOPE NOW REPLACE THE X & Y VALUES IN THE LINE EQUATION ALONG WITH THE SLOPE VALUE OF 3 & SOLVE FOR THE Y INTERCEPT(b)
10=3*8+b
10=24+b
b=10-24
b=-14 WHICH IS THE Y INTERCEPT:
THUS THE EQUATION OF THE LINE THROUGH THESE TWO POINTS IS:
Y=3X-14
{{{ graph( 300, 200, -6, 5, -15, 10, y = 3x -14) }}} (graph 300x200 pixels, x from -6 to 5, y from -15 to 10, y = 3x -14).