Front

Determine if (4, 1) is a solution for the system of equations: y = -x + 5 and y = 2x - 7.

Back

Yes, (4, 1) is a solution because it satisfies both equations.

Front

What type of equation is y = 3x^2 - 2x + 5?

Back

Quadratic equation.

Front

Find the missing endpoint if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).

Back

The missing endpoint is (5, -11).

Front

Which equation describes a line that is parallel to line GH and passes through (2,8)?

Back

y = -2x + 12.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one.

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the definition of a midpoint in geometry?

Back

The midpoint is the point that divides a line segment into two equal parts.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.