Mixed Topics Alg 1

Front

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

Back

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

Front

How do you convert the equation -x + 2y = -10 into slope-intercept form?

Back

To convert it, add x to both sides to isolate 2y: 2y = x - 10, then divide by 2 to get y = (1/2)x - 5.

Front

What does the solution (-3, -8) represent in a system of equations?

Back

It represents the point where the two lines intersect, indicating the values of x and y that satisfy both equations.

Front

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

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

When graphing the inequality x ≥ 2, which direction do you shade?

Back

You shade to the right, indicating all values of x that are greater than or equal to 2.

Front

What is the y-intercept of the equation y = -4x - 5?

Back

The y-intercept is -5, which is the value of y when x = 0.

Front

What is the definition of slope in a linear equation?

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the significance of the y-intercept in a graph?

Back

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

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions, meaning the lines represented by the equations do not intersect.