Desmos

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the formula Y=mx+b represent?

Back

The formula Y=mx+b represents the equation of a straight line, where Y is the dependent variable, m is the slope of the line, x is the independent variable, and b is the y-intercept.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as a² + b² = c².

Front

How do you determine if a triangle is a right triangle using the Pythagorean theorem?

Back

To determine if a triangle is a right triangle, calculate a² + b² and compare it to c². If they are equal, the triangle is a right triangle.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line in the form 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?

Back

The slope (m) of a line given two points (x1, y1) and (x2, y2) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept (b) in a linear equation is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Front

How can Desmos be used to visualize linear relationships?

Back

Desmos can be used to create tables and graphs to visualize linear relationships by inputting data points and observing the resulting line.

Front

What does it mean to compare values graphically in Desmos?

Back

Comparing values graphically in Desmos involves plotting different equations or points on the same graph to see their relationships and intersections.

Front

What is the process to find the greatest value among several numbers using Desmos?

Back

To find the greatest value among several numbers in Desmos, input each value as a separate line and observe the graph. Zoom in if necessary to see the separation of lines.