Graphing Lines, y=mx + b, slope, Systems graphically

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in the equation y = mx + b?

Back

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

Front

How do you find the y-intercept (b) of a line?

Back

The y-intercept (b) is the value of y when x = 0, which is where the line crosses the y-axis.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved simultaneously.

Front

How can you solve a system of equations graphically?

Back

To solve graphically, plot both equations on the same graph and identify the point(s) where they intersect.

Front

What does it mean if two lines are parallel in a graph?

Back

If two lines are parallel, they have the same slope and will never intersect.

Front

What does it mean if two lines intersect at a point?

Back

If two lines intersect at a point, that point is the solution to the system of equations represented by the lines.

Front

What is the y-intercept of the line y = 2x?

Back

The y-intercept is (0, 0), meaning the line crosses the y-axis at the origin.

Front

How do you determine if a point is a solution to a system of equations?

Back

A point is a solution if it satisfies all equations in the system when substituted into them.

Front

What is the significance of the point (0, -2) in relation to a line?

Back

The point (0, -2) is the y-intercept, indicating where the line crosses the y-axis.