Problema Solution

Find an equation for the line with the given properties. Express the equation in the slope-intercept form.

Containing the points P= (-5,4) and Q=(-3,1)

What is the equation of the line?

Answer provided by our tutors

the "slope-intercept" form of line is


y = mx + b


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


m = (1 - 4)/(-3 - (-5))


m = -3/2


y = (-3/2)x + b


y = - 1.5x + b


the line contains P=(-5, 4) thus we have


4 = (-3/2)*(-5) + b


by solving we find:


b = -3.5


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the equation of the line is:


y = (-3/2)x - 7/2


y = -1.5x - 3.5