1. Find the equations of the line through the points (1,1) and (-3 , -4)2. Find the vertex of the...

Question

1. Find the equations of the line through the points (1,1) and (-3 , -4)
2. Find the vertex of the parabola.
3. Solve the system 5x - 7y = 3x = 2y - 24
4. Solve the system
5r - s + t = - 23
3r + 2s - 3t = 9
r - 3s + 2t = - 25

005_uxiya5o-nglgffo2.docx

Robert · Accepted Answer

1. Points (1,2) and (-3,-4). 
Equation of line passing through these points is 
y-y1=[(y2-y1)/(x2-x1)](x-x1) 
y-2=[(2+4)/(1+3)](x-1) 
y=3x/2+1/2                           (d) 
2. 142  xxy  
y’=0 => x=2 
At x=2, y=-3 
Vertex = (2,-3)                    (a) 
3. 5x-7y=-40 and 3x-2y=-24 
Multiplying first equation by 3 and second equation by 5 and subtracting, we have 
y=0 
Substituting this value in first equation, we have 
x=-8 
(-8,0)                                  (a) 
4.  (-3,6,-2) satisfies all 3 equations 
5.

1. Find the equations of the line through the points (1,1) and (-3 , -4) 2. Find the vertex of the parabola. 3. Solve the system 5x - 7y = 3x = 2y - 24 4. Solve the system 5r - s + t = - 23 3r + 2s -...

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