Question

Use the equation 2x+3y+19. Which one of the points (20,-7), (14,-3), (-5.5,10), (-12.5,15) does NOT lie on the line represented by the given equation?

A) (20,-7)
B) (14,-3)
C) (-5.5,10)
D) (-12.5,15)

Answer 1

To find the point that does not lie on the line represented by the equation 2x+3y+19, substitute the x and y values of each point into the equation and check if it satisfies the equation. By checking the calculations, the point that does not lie on the line is (-12.5,15).

Step-by-step explanation:

In order to determine which point does not lie on the line represented by the equation 2x+3y+19, we need to substitute the x and y values of each point into the equation and see if it satisfies the equation.

Let's check each point:

1. For point (20,-7): 2(20)+3(-7)+19 = 40-21+19 = 38 ≠ 0. Therefore, this point does not lie on the line.
2. For point (14,-3): 2(14)+3(-3)+19 = 28-9+19 = 38 ≠ 0. Therefore, this point does not lie on the line.
3. For point (-5.5,10): 2(-5.5)+3(10)+19 = -11+30+19 = 38 ≠ 0. Therefore, this point does not lie on the line.
4. For point (-12.5,15): 2(-12.5)+3(15)+19 = -25+45+19 = 39 ≠ 0. Therefore, this point does not lie on the line.

Based on the calculations, the point that does not lie on the line represented by the equation 2x+3y+19 is D) (-12.5,15).