SOLUTION: Find the equation for each of the following lines and graph it. (You can put them all on the same graph if you want but label them) a. A line with a slope of -2 that goe

Algebra ->  Graphs -> SOLUTION: Find the equation for each of the following lines and graph it. (You can put them all on the same graph if you want but label them) a. A line with a slope of -2 that goe      Log On


   

Question 85190: Find the equation for each of the following lines and graph it. (You can put them all on the same graph if you want but label them)
a. A line with a slope of -2 that goes through the point (1,-3)
b. A line with a slope of zero that passes through (2,-1)
c. A line with an undefined slope that passes through (-1,2)
Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
a)Equation of a line with slope 'm' and through (x1,y1) is given by
y-y1 = m(x-x1)
==> y -(-3) = (-2)(x-1)
==> y + 3 = -2x + 2
==> y = -2x + 2 - 3
==> y = -2x - 1 is the required equation.
b) Slope = 0 and passes through (2,-1)
==> y - (-1) = 0(x-2)
==> y + 1 = 0
==> y = -1 is the required equation.
c) Slope = undefined and passes through (-1,2)
==> y - 2 = (1/0)(x-(-1))[undefined = 1/0]
==> 0(y-2) = 1(x+1)
==> 0 = x + 1
==> x = -1 is the required equation.
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In the above graph, the red line represents (a) and green line represents (b).(c) is not shown on the graph, but it is a line parallel to y axis and through x = -1(left of y axis)

Good Luck!!!