Problema Solution

write the equation of the line in slope intercept form that contains the points (9,2) and (3,9)"

Answer provided by our tutors

the straight-line equations is the "slope-intercept" form:


y = mx + b


where "m" is the slope and "b" gives the y-intercept


m = (2 - 9)/(9 - 3)


m = -7/6


y = (-7/6)x + b


the line goes trough (9,2) thus for x = 9


y = 2


(-7/6)*9 + b = 2


by solving we find


b = 12.5


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the slope intercept equation of the line is


y = (-7/6)x + 12.5