Module 4 Test Review

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

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent in a graph?

Back

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

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (0, b) and use the slope (rise/run) to find another point.

Front

What is the effect of shifting a graph vertically?

Back

Shifting a graph vertically by k units means adding or subtracting k from the y-values of the function.

Front

What is the effect of shifting a graph horizontally?

Back

Shifting a graph horizontally by h units means adding or subtracting h from the x-values of the function.

Front

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

Back

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

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms on one side.