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Consider the linear equation 3x – 4y = 18. Which two ordered pairs are on the graph of the linear equation?A (-9,-6)B (-2,-6)C (0,6)D (2, -3)E (3, 10)

Sagot :

(-2,-6) and (2,-3) are points on the graph

Here, we want to select the ordered pairs that are on the graph

What we have to do here is to substitute the coordinates of the points into the equation

If we substitute say for example the x value, and we are able to get the y value, then the point is on the graph

We look at each of the points as follows;

a) (-9,-6)

[tex]3(-9)-4(-6)\text{ = -27+24 = -3}[/tex]

This is not on the equation

b) (-2,-6)

[tex]3(-2)-4(-6)\text{ = 6+24 = 18}[/tex]

This is a point on the graph

c) (0,6)

[tex]3(0)-4(6)\text{ = 0-24 = -24}[/tex]

This is not on the graph

d) (2,-3)

[tex]3(2)\text{ -4(-3) = 6+12 = 18}[/tex]

This is a point on the graph

e) (3,10)

[tex]3(3)-4(10)\text{ = 9-40 = -31}[/tex]

This is not a point on the graph