SOLUTION: what is the equation of a line that passes through the points (4,1) and (3,-2)

Question 144107: what is the equation of a line that passes through the points (4,1) and (3,-2)
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(4,1) and (3,-2)
FIRST WE FIND THE SLOPE (m) =(Y2-Y1)/(X2-X1)=(-2-1)/(3-4)=-3/-1=3
NOW WE REPLACE THEX & Y TERMS IN THE LINE EQUATION [Y=mX+b] WITH ONE SET OF POINTS & SOLVE FOR THE Y INTERCEPT (b).
1=3*4+b
1=12+b
b=1-12
b=-11 THE Y INTERCEPT.
THUS THE EQUATION IS:
Y=3X-11
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x -11).

RELATED QUESTIONS
What is the slope of a line that passes through points (-2 -1) and (4... (answered by Fombitz)

What�s the equation of a line that passes through points (0, -1) and (2,... (answered by Alan3354)

What�s the equation of a line that passes through points (0, -1) and (2, 3)? (answered by AAfter Search)

What�s the equation of a line that passes through points (0, -1) and (2, 3)? (answered by mananth)

What is the equation of a line that passes through points (-1, 2) and (5, 2)? (answered by jim_thompson5910,lenny460)

What is the equation of a line that passes through (-2, -1) and (-4,... (answered by jim_thompson5910)

What is the equation of a line that passes through (-2,-1) and (-4,... (answered by lwsshak3,stanbon)

What is the equation of the line that passes through (-4,-1) that is PERPENDICULAR to the (answered by ewatrrr)

the equation of a line that passes through the point (-2,6) and is parallel to the line... (answered by Alan3354)