Slope Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is given by 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 the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

How can you identify the y-intercept from the slope-intercept form?

Back

The y-intercept can be identified as the value of b in the slope-intercept form y = mx + b. It is the point where the line crosses the y-axis.

Front

Given the equation y = 3x + 5, what is the slope?

Back

The slope is 3.

Front

Given the equation y = -4x + 1, what is the y-intercept?

Back

The y-intercept is 1.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

An undefined slope indicates that the line is vertical.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.

Front

What is the significance of the point (0, b) in the slope-intercept form?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) between two points is calculated using the formula m = (y2 - y1) / (x2 - x1).