For the following equation y = 7 x - 5 , which of the given ordered pairs are solutions (-5, 0) (0, -5) (0, 0) (1, 2) (-2, -19)?

1 Answer
Nallasivam V
Jul 4, 2018

Point #(-5,0)# is not a point on the line.
Point #(0,-5)# is a point on the line.
Point #(1,2)# is a point on the line.
Point #(-2,-19)# is a point on the line.

Explanation:

The given equation is -

#y=7x-5#

To find whether the given points are on the line, we have to plug them in and verify whether they satisfy the equation.

To do this let us rewrite the equation -

#7x-5=y#

At #(-5,0); 7(-5)-5=0; -35-5!=0#
Point #(-5,0)# is not a point on the line.

At #(0,-5); 7(0)-5=-5; 0-5=-5#
Point #(0,-5)# is a point on the line.

At #(0,0); 7(0)-5=0; 0-5!=0#
Point #(0,0)# is not a point on the line.

At #(1,2); 7(1)-5=2; 7-5=2#
Point #(1,2)# is a point on the line.

At #(-2,-19); 7(-2)-5=-19; -14-5=-19#
Point #(-2,-19)# is a point on the line.

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