Slope-Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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 does the slope of a line represent?

Back

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

Front

How can you determine if a slope is positive or negative from a graph?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

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

What is the significance of a slope of -1 in a linear equation?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by 1 unit, resulting in a diagonal line that descends from left to right.

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 y-intercept of the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.