Systems of eq and ineq REVIEW

Front

What is the y-intercept of the equation y = -3x + 2?

Back

The y-intercept is 2.

Front

How do you find the slope between two points (2, 7) and (5, 8)?

Back

The slope is \( \frac{1}{3} \).

Front

What is the slope of the line given by the equation 2y - 10x = 8?

Back

The slope is \( 10 \).

Front

In the equation y = mx + b, what does the letter 'm' represent?

Back

The letter 'm' represents the slope of the line.

Front

Solve the system of equations: y = 7x + 9 and 2y + 2x = -14.

Back

The solution is (-2, -5).

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is \( \text{slope} = \frac{y2 - y1}{x2 - x1} \).

Front

What does the term 'system of equations' refer to?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line.

Front

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

Back

A consistent system has at least one solution.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation shows equality, while a linear inequality shows a range of values.