Problem 10
Question
Plot the given point in a rectangular coordinate system. $$(0,-3)$$
Step-by-Step Solution
Verified Answer
The point (0,-3) is plotted at the position which is directly below the origin (0,0) on the y-axis at a distance of 3 units.
1Step 1: Setting up the coordinate system
Set up a rectangular coordinate system, also known as a Cartesian plane. This consists of two number lines intersecting at right angles at their zero points. The horizontal line is called the x-axis and the vertical line is the y-axis. The point where they intersect is called the origin (0,0).
2Step 2: Plotting the point
The given point (0,-3) means that the horizontal position is 0 (no movement along the x-axis), and the vertical position is -3 (move down 3 units from the origin point). So, locate this point in the Cartesian plane.
3Step 3: Indicate the point on the plot
Mark this point on the grid. This point denotes the location of the point (0,-3) in the Cartesian plane.
Other exercises in this chapter
Problem 10
Find \(f(g(x))\) and \(g(f(x))\) and determine whether each pair of functions \(f\) and \(g\) are inverses of each other. $$f(x)=\sqrt[3]{x-4} \text { and } g(x
View solution Problem 10
Find the domain of each function. $$f(x)=\frac{1}{x+8}+\frac{3}{x-10}$$
View solution Problem 10
Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, fa
View solution Problem 10
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(4,1),(5,1),(6,1)\\}$$
View solution