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Question

Fill in the blanks.
(i) For the line 4x + 3y = 12, x-intercept = ...... and y-intercept = ......
(ii) If x = 4, y = 3 is a solution of 2x + ky = 14, then k = ......
(iii) If the point P(p, 4) lies on the line 3x + y = 10, then p = ......

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Solution

(i) For the line 4x + 3y = 12, x-intercept = 3 and y-intercept= 4.

We will draw the graph of the number line by using the values of x and y axes given below.
x 0 3
y 4 0


So, the line intersects the x-axis at 3 and y-axis at 4.
(ii) If x = 4, y = 3 is a solution of 2x + ky = 14, then k = 2.

By putting the values of x and y we can find the value of .
2x+ky=142(4)+k(3)=148+3k=143k=14-83k=6k=2
(iii) If the point P(p, 4) lies on the line 3x + y = 10, then p = 2.

Since the point P(p,4) lies on the given line, it will satisfy the given equation of the line.
3x+y=103(p)+4=103p=10-43p=6p=2

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