SLM CUA2 Review

Front

What is the rate of change of a line in a linear model?

Back

The rate of change of a line, also known as the slope, represents how much the y-value changes for a unit change in the x-value.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of a line that rises 11 units for every 1 unit it runs?

Back

The slope is 11.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If one slope is m, the other slope is -1/m.

Front

Back

Front

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

Back

The slope-intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

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 (y = mx + b), solve for y.

Front

What is the y-intercept of the equation y = -4x - 2?

Back

The y-intercept is -2, which is the value of y when x = 0.

Front

What does the graph of y = -x + 2 look like?

Back

The graph is a straight line with a slope of -1 and a y-intercept of 2.

Front

What is the slope of the line represented by the equation 12x + 3y = -6?

Back

The slope is -4 after converting to slope-intercept form.