Ex Cr Ch 4 - Graphing & Writing Linear Equations

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 (m) represent in a linear equation?

Back

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

Front

What is the y-intercept (b) in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

If m = 2 and b = 4, what is the slope-intercept equation?

Back

y = 2x + 4

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0).

Front

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

Back

The slope is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

What is the formula to convert from point-slope form to slope-intercept form?

Back

Start with y - y1 = m(x - x1) and solve for y to get y = mx + (y1 - mx1).

Front

What is the significance of the point (0, b) in a linear equation?

Back

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