Ch 7.4: Writing & Graphing Equations in Two-Variables Flashcard

A linear equation in two variables is an equation that can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

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

To graph a linear equation, identify the y-intercept, plot it on the graph, then use the slope to find another point and draw the line.

The coordinate point (2,10) represents the position where x is 2 and y is 10 on the graph.

The independent variable is the one that is changed or controlled in an experiment (usually x), while the dependent variable is the one that is measured (usually y).

This equation represents a line with a slope of 2 and a y-intercept of 1.

To determine if a point lies on a line, substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

A table of values lists pairs of x and y values that satisfy a linear equation, showing how y changes as x changes.

This equation indicates that for every increase of 1 in x, y increases by 5, plus an additional 1.