Graphing on the Coordinate Plane "Flashcard"

Front

What is the coordinate plane?

Back

A two-dimensional surface formed by the intersection of a vertical line (y-axis) and a horizontal line (x-axis), used to graph points, lines, and curves.

Front

What are the x-axis and y-axis?

Back

The x-axis is the horizontal line on the coordinate plane, while the y-axis is the vertical line.

Front

How do you find the y-value when given an equation and an x-value?

Back

Substitute the x-value into the equation and solve for y.

Front

What does the slope of a line represent?

Back

The slope indicates the steepness of the line and the direction it moves; it is calculated as the change in y over the change in x.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you graph a linear equation?

Back

Identify the slope and y-intercept, plot the y-intercept on the graph, and use the slope to find another point.

Front

What is the formula for slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean for a line to be horizontal?

Back

A horizontal line has a slope of 0 and runs parallel to the x-axis.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and runs parallel to the y-axis.

Front

How do you determine if a point lies on a line?

Back

Substitute the x-value of the point into the equation of the line; if the resulting y-value matches the y-value of the point, it lies on the line.