Question

E-Drag and drop each point into the correct category to show whether each point could represent anx-intercept, y-intercept, both, or neither.(0,0)(140)(3.8)(-5,0)(0,7)

Answer 1

The y-intercept is where the function crosses the y-axis. Is the value of y when x=0

The coordinates of the y-intercept can be expressed as: (0, y)

The x-intercept is where the function crosses the x-axis. Is the value of x when y=0.

The coordinates of the x-intercept can be expressed as: (x, 0)

So given the coordinates:

(0,0) → this coordinate is called "origin" both x and y coordinates are zero, it represents both the x-intercept and the y-intercept

(14,0)→the y-coordinate is zero, this means that this point represents the x-intercept

(3,8)→ none of the coordinates is zero, this point does not intercept any of the axis.

(-5,0)→ the y-coordinate is zero, this point is over the x-axis, therefore it represents the x-intercept

(0,7)→the x-coordinate is zero, this point is over the y-axis, it represents an y-intercept.