Systems Review

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert an equation to slope-intercept form?

Back

To convert an equation to slope-intercept form, isolate y on one side of the equation.

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Front

What is the first step to isolate y in the equation 8x - 2y = 22?

Back

The first step is to subtract 8x from both sides, resulting in -2y = 22 - 8x.

Front

What happens when you divide an equation by a negative number?

Back

When you divide an equation by a negative number, the inequality sign reverses.

Front

How do you find the solution to a system of equations graphically?

Back

To find the solution graphically, plot both equations on a graph and identify the point where they intersect.

Front

What is the solution to the system of equations 2y = 8x + 4 and y = x + 5?

Back

The solution is the point (1, 6), where the two lines intersect.

Front

What is the result of subtracting 8x from both sides of the equation 8x - 2y = 22?

Back

The result is -2y = 22 - 8x.

Front

What is the significance of the point (1, 6) in the context of a system of equations?

Back

The point (1, 6) is the solution to the system, meaning it satisfies both equations.