SOLUTION: Determine the equation of a lineˏ in slope-intercept formˏ that passes through the points (6, 1) and (-10, 9) a.) y= -1/2x + 4 b.) y= -1/2x - 2 c.) y= -2x + 8 d.)

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Question 944988: Determine the equation of a lineˏ in slope-intercept formˏ that passes through the points (6, 1) and (-10, 9)
a.) y= -1/2x + 4
b.) y= -1/2x - 2
c.) y= -2x + 8
d.) y= -2x+ 13

Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The slope is ( change in y ) / ( change in x )
Let slope =



----------------
Use the general point-slope formula




The answer is (a)

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
the equation of a line in slope-intercept form:
where is a slope and y-intercept
we will use given points (,) and (, ) to set up system and solve it for and

if (,) then we have

.....eq.1
if (,) then we have

.....eq.2
so, the system is:
.....eq.1
.....eq.2
----------------------------------
start with .....eq.1, solve for
...substitute in eq.2

.....eq.2, solve for






now find






so, your equation is:
and your answer is a.)




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