G.TR.2 Decathlon

Front

What is the formula to find the value of Y in a linear equation?

Back

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

Front

What does the notation (-8,-4) represent in coordinate geometry?

Back

It represents a point in a Cartesian coordinate system, where -8 is the x-coordinate and -4 is the y-coordinate.

Front

What is the formula to find the value of X in a linear equation?

Back

X = (Y - b) / m, where m is the slope and b is the y-intercept.

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b.

Front

What is the slope of a line?

Back

The slope (m) of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the significance of parentheses in coordinate notation?

Back

Parentheses indicate that the values inside are coordinates of a point in a Cartesian plane.

Front

What does it mean if a linear equation has no solution?

Back

It means that the lines represented by the equations are parallel and will never intersect.

Front

What is the difference between a positive and negative slope?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.