SOLUTION: what is the equation for the line that passes through the points (3,5)and(4,1)?

Algebra.Com
Question 104194: what is the equation for the line that passes through the points (3,5)and(4,1)?
Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
FIRST WE FIND THE SLOPE
SLOPE(m)=(Y2-Y1)/(X2-X1)
m=(1-5)/(4-3)
m=-4/1=-4 THIS IS THE SLOPE.
NOW WE SUBSTITUTE ONE SET OF X,Y POINTS FOR THE X & Y IN THE LINE EQUATION [Y=mX+b] & SOLVE FOR THE Y INTERCEPT (b)
5=3*-4+b
5=-12+b
b=5+12
b=17 ANSWER FOR THE Y INTERCEPT.
Y=-4X+17

RELATED QUESTIONS

what is the equation for the line that passes through points (-1,-4) and... (answered by rfer)
Find an equation for the line that passes through the points (5, -4) and (1,... (answered by jim_thompson5910)
The equation of the line that passes through the points (-2,6) and (4,-3) is... (answered by Edwin McCravy)
What is the equation of the line that passes through the points (4,-2) and... (answered by MathLover1,doodles)
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 the points (5, 6) and (1,... (answered by mananth)
What is an equation in slope-intercept for the line that passes through the points (1,-3) (answered by stanbon)
What is the equation of the line that passes through (-4,-1) that is PERPENDICULAR to the (answered by ewatrrr)
What is the slope of a line that passes through points (-2 -1) and (4... (answered by Fombitz)
find the equation for the line that passes through the points (-2,4) and that is... (answered by stanbon)