SOLUTION: Find an equation of the line L that passes through the point (-2,-4) and satisfies the condition. a)L is a vertical line b)L is a horizontal line c)L passes through the point (3

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line L that passes through the point (-2,-4) and satisfies the condition. a)L is a vertical line b)L is a horizontal line c)L passes through the point (3      Log On


   



Question 1123570: Find an equation of the line L that passes through the point (-2,-4) and satisfies the condition.
a)L is a vertical line
b)L is a horizontal line
c)L passes through the point (3,7/2)

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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Find an equation of the line L that passes through the point (-2,-4) and satisfies the condition.
a)L is a vertical line
b)L is a horizontal line
c)L passes through the point (3,7/2)
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(a)
x=-2

(b)
y=-4

(c)
Find the slope of the two points.
Pick either given point, and plug into the point-slope form equation.
y%2B4=%28%28-4-7%2F2%29%2F%28-2-3%29%29%28x%2B2%29-----------simplify this and put into whichever form you want.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a) ( -2, -4 )
The slope is infinite
+y+=+m%2Ax+%2B+b+
+x+=+-2+
—————————-
b) +y+=+-4+
—————————-
c) ( 3, 7/2 )
Use point-slope formula
+%28+y+-+7%2F2+%29+%2F+%28+x+-+3+%29+=+%28+-4+-+7%2F2+%29+%2F+%28+-2+-+3+%29+
+%28+y+-+7%2F2+%29+%2F+%28+x+-+3+%29+=+%28+-15%2F2+%29+%2F+%28+-5+%29+
+%28+y+-+7%2F2+%29+=+%28+3%2F2+%29%2A%28+x+-+3+%29+
+y+-+7%2F2+=+%283%2F2%29%2Ax+-+9%2F2+
+y+=+%283%2F2%29%2Ax+-+1+
Check the math