Question

a) Coordinates of the points where the graph of the equation y = 2x + 4 intersects the x – axis and y- axis respectively are ____________ and ________.

b) If (1,1) is the solution of equation 9 kx + 12 ky = 63 , then find the value of k.

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Answer 1

Answer:

Step-by-step explanation:

a) We have:

=> y = 2x + 4 (take y = 0)

>> 0 = 2x + 4

>> -4 = 2x

>> x = -4/2

>> x = -2

∴ Coordinates are (x , y) = (-2 , 0) [x-axis]

=> y = 2x + 4 (take x = 0)

=> y = 2(0) + 4

=> y = 0 + 4

=> y = 4

∴ Coordinates are (x , y) = (0 , 4) [y-axis]

∴ Intercepts of the graph will be (-2 , 0) , (0 , 4).

b) We have,

=> 9kx + 12ky = 63

=> (x , y) = (1 , 1)

Hence, we get:

>> 9k(-1) + 12k(-1) = 63

>> -9k + (-12k) = 63

>> -3k = 63

>> k = 63/3

>> k = 21

∴ The value of k is 21.