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Solution


Q.

Consider the equation changes from y = 3x + 7 to y = 3x − 4. What is true about the changes to the graph
(i) The coefficient of x remains same.
(ii) The value of y at x = 0 decreases.
(iii) Both lines are on the same side of the origin.
(iv) The line shifts downward.
1 (i), (iii) and (iv)
 
2 (ii) and (iv) only  
3 (i), (ii) and (iv)  
4 (i), (ii), (iii) and (iv)  

Ans.

(3)

When the equation changes from y = 3x + 7 to y = 3x − 4, the graph changes as shown in the figure.

(i) Yes, the coefficient of x i.e., 3 remains same.
(ii) The value of y at x = 0 decreases from 7 to −4.
(iii) Clearly, both lines are on the opposite side of the origin.
(iv) Yes, the line shifts downward.