SOLUTION: Determine the equation of the line passing through the points (1, 2) and (6, -4). Please show work.

Question 751611: Determine the equation of the line passing through the points (1, 2) and (6, -4). Please show work.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine the equation of the line passing through the points (1, 2) and (6, -4). Please show work.
***
Equation for a line: y=mx+b, m=slope, b=y-intercept
slope=∆y/∆x=(-4-2)/6-1)=-6/5
y=-6x/5+b
solve for b using coordinates of one of given points(1,2) on the line
2=-6/5+b
b=2+6/5=16/5
Equation of given line:y=-6x/5+16/5
RELATED QUESTIONS
Determine the equation of the line passing through the points (1, 2) and (6, -4). (answered by lynnlo)

Write the equation of each line passing through the given pair of points (3,2) and... (answered by richwmiller)

If the line passing through the points (a, 1) and (1, 8) is parallel to the line... (answered by josgarithmetic,MathLover1,MathTherapy)

Write the equation of the line passing through the given pair of points. (2,-3) and... (answered by jim_thompson5910)

Write the equation of the line passing through the given pair of points. (2,-3) and... (answered by stanbon)

Find the equation of a line passing through points (-2, 4) and (-1, 6). Put the equation... (answered by josgarithmetic)

Find the equation of the line passing through the points (0,-4)and( 2,... (answered by Alan3354)

Find the slope of the line passing through the points (6, 5) and (1, 4). Round answer two (answered by Alan3354)

Find the equation of the line passing through the points (-1, 4) and (5,... (answered by jim_thompson5910)