Winter District Check Point 2

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by 'b' in the equation of a line (y = mx + b).

Front

What is the definition of a hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

How do you identify the hypotenuse in a triangle with sides 6, 10, and 3?

Back

The hypotenuse is the longest side, which is 10.

Front

What is the formula to find the missing side of a right triangle?

Back

The Pythagorean theorem states that a² + b² = c², where c is the hypotenuse.

Front

What is the equation of a line with a slope of 1/2 and a y-intercept of -1?

Back

The equation is y = 1/2x - 1.

Front

What does it mean for two lines to intersect on a graph?

Back

When two lines intersect, they meet at a point called the solution, which represents the values of x and y that satisfy both equations.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the direction and steepness of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

How can you determine if a triangle is a right triangle?

Back

A triangle is a right triangle if it satisfies the Pythagorean theorem: a² + b² = c².

Front

What is the difference between the slope and the y-intercept in a linear equation?

Back

The slope indicates the steepness of the line, while the y-intercept indicates where the line crosses the y-axis.