draw the graph for following table then find a and b
X= -2 , 1 , a , 4 , 7
Y= 4 , 2 , 1 , b , -2
Answers
Drawn the graph , a = 5/2 , b = 0
Step-by-step explanation:
x y
-2 4
1 2
a 1
4 b
7 -2
y = mx + c
=> 4 = -2m + c
2 = m + c
=> 3m = - 2
m = - 2/3
c = 8/3
y = -2x/3 + 8/3
=> 3y = -2x + 8
=> 2x + 3y = 8
Check ( 7 , - 2)
=> 2(7) + 3(-2) = 8
=> 8 = 8
x = a y = 1
=> 2a + 3 = 8
=> a = 5/2
x = 4 y = b
=> 2*4 + 3b = 8
=> 3b = 0
=> b = 0
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a = 5/2 and b = 0
Step-by-step explanation:
y = mx + c
For the first point, the equation becomes 4 = -2m + c -------------------(1)
For the second point, the equation becomes 2 = m + c -------------------(2)
Solving (1) and (2), we get
3m = - 2
m = - 2/3
Substituting m in equation (2), we get c = 8/3
The linear equation is:
y = -2x/3 + 8/3
3y = -2x + 8
2x + 3y = 8
Let's check for point ( 7 , - 2), equation becomes:
2(7) + 3(-2) = 8
8 = 8
For the point (a, 1), equation becomes:
2a + 3 = 8
a = 5/2
For the point (4, b), equation becomes:
2*4 + 3b = 8
3b = 0
b = 0