U5 L1 Graphing

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

How do you find the y-intercept of a linear equation?

Back

Front

Back

The y-intercept is 4, which means the line crosses the y-axis at the point (0, 4).

Front

What does it mean for two lines to intersect?

Back

Two lines intersect when they cross each other at a point. The coordinates of this point represent the solution to the system of equations formed by the two lines.

Front

How can you determine if a system of linear equations has no solution?

Back

A system of linear equations has no solution if the lines are parallel, meaning they have the same slope but different y-intercepts.

Front

Back

The solution is the point (3, -1), where the two lines intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

A system of equations has infinitely many solutions if the two equations represent the same line, meaning they overlap completely.

Front

How do you graph a linear equation?

Back

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

Front

Back

The slope is 2, indicating that for every 1 unit increase in x, y increases by 2 units.