Writing Equations from a Graph

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

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

Back

m = (y₂ - y₁) / (x₂ - x₁).

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical.

Front

How can you determine the slope from a graph?

Back

By selecting two points on the line and using the slope formula: m = (y₂ - y₁) / (x₂ - x₁).

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between two variables.

Front

How do you convert the standard form of a linear equation (Ax + By = C) to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What does a positive slope indicate about the relationship between x and y?

Back

As x increases, y also increases.