leximedina56
contestada

Which of the following statements is true for a point in the first quadrant of the coordinate plane?

A. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units up from the origin and y units to the left.

B. To grab a point (x, y) in the first quadrant of the coordinate plane, move x units to the right of the origin and y units up.

C. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units to the left of the origin and y units up.

C. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units from the origins and Y units to the right.

D. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units up from the origin and y units to the right.

Respuesta :

jacob193

Answer:

Choice B: Start at the origin. Move [tex]x[/tex] units to the right, and [tex]y[/tex] units upwards.

Step-by-step explanation:

There are two axes on a typical Cartesian coordinate plane:

  • The horizontal [tex]x[/tex]-axis, and
  • The vertical [tex]y[/tex]-axis.

Many diagrams of a Cartesian plane would have arrows on these two axis. Typically, there would be:

  • a rightward arrow [tex]\verb!->![/tex] on the right-hand side of the horizontal [tex]x[/tex]-axis, and
  • an upward arrow [tex]\uparrow[/tex] at top of the vertical [tex]y[/tex]-axis.

The arrow on the [tex]x[/tex]-axis pointing rightward suggests that as a point move to the right, the [tex]x\![/tex] coordinate of that point would increase. Conversely, it would be necessary to move points to the right so as to increase their [tex]\! x[/tex]-coordinates.

On the other hand, the arrow pointing upwards on the [tex]y[/tex]-axis indicate that as a point move upward, the [tex]y\![/tex] coordinate of that point would increase. With a similar logic, it would be necessary to move points upward to increase their [tex]\! y[/tex]-coordinates.

Besides, the origin (the intersection of the two axis, unless otherwise specified) would corresponds to [tex](0,\, 0)[/tex]. (That is: [tex]x = 0[/tex] and [tex]y = 0[/tex].) If the origin [tex](0,\, 0)\![/tex] is the starting point, it would be necessary to increase the [tex]x[/tex]-coordinate by [tex]x\![/tex] units (by moving rightward [tex]x\!\![/tex] units) and increase the the [tex]y[/tex]-coordinate by [tex]y\![/tex] units (by moving upwards [tex]y\!\![/tex] units) so as to reach the point [tex](x,\, y)[/tex].

Otras preguntas