A is the point (-2, 0) and B is the point (0, 4). (a) Find the equation of the straight line joining A and B.
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5
Answer:
y = 2x+4
Step-by-step explanation:
Points (-2,0), (0,4)
Equation of line: y=mx+b
m = slope
m= y2-y1/x2-x1
m= 4-0/0--2 = 4/2 = 2
y= 2x+b
Plug in one of the points to get b (-2,0)
0=2*(-2)+b
0=-4+b
4=b
y = 2x+4
Answered by
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Given : A is the point (-2, 0) and B is the point (0, 4)
To Find : Equation of the straight line joining A and B.
Solution:
A (-2 , 0)
B (0 , 4)
Slope m = ( 4 - 0)/(0 -(-2)) = 4/2 = 2
Equation of line is
(y - y₁) = m (x - x₁)
y - 4 = 2(x - 0)
=> y - 4 = 2x
=> y = 2x + 4
the equation of the straight line joining A and B is y = 2x + 4
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