give me a run through on graph points amd coordinate becouse im doing a math test and need help under standing how to do the questions

1 answer

Graph points and coordinates involve plotting points on a coordinate plane.

A coordinate plane consists of two perpendicular number lines that intersect at a point called the origin. The vertical line is called the y-axis, and the horizontal line is called the x-axis.

Each point on the coordinate plane is represented by an ordered pair in the form (x, y), where x is the coordinate along the x-axis and y is the coordinate along the y-axis.

To plot a point on the coordinate plane, you start at the origin and move along the x-axis until you reach the x-coordinate, then move up or down along the y-axis until you reach the y-coordinate, and finally mark the point at the intersection of the x and y values.

For example, to plot the point (3, 2), you would move right 3 units along the x-axis and then move up 2 units along the y-axis to locate the point (3, 2).

To read the coordinates of a point on the graph, you observe the values of x and y correspond to its location.

Furthermore, the distance between two points on the coordinate plane can be found using the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In some cases, you might be asked to find the midpoint between two points, which can be done by using the midpoint formula:
midpoint = ((x1 + x2)/2, (y1 + y2)/2)

When given equations of lines or curves, you may need to find the intersection points where the lines or curves meet. To do this, you can set the equations equal to each other and solve for the x-values. Once you have the x-values, you can substitute them into either equation to find the corresponding y-values.

Remember to label the axes with appropriate scale and units when graphing, and be mindful of any specific directions or restrictions given in the math test questions.