Slope-Intercept Form

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

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The y-intercept is the value of b in the equation, which is the point where the line crosses the y-axis.

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

Determine the slope and y-intercept from the equation: y = 3/2x + 3.

Back

Slope: 3/2, Y-intercept: (0, 3).

Front

Write a linear equation in slope-intercept form with a slope of 12 and y-intercept of 10.

Back

y = 12x + 10.

Front

How would you write the equation with a slope of 2/3 and a y-intercept of -3?

Back

y = 2/3x - 3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.