Alg review semester 1

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 find the slope from an equation in point-slope form?

Back

The slope can be identified directly from the equation in point-slope form, which is y - y1 = m(x - x1), where m is the slope.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates 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 convert from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/B).

Front

What is the solution to the inequality 3(x - 3) ≤ 2(x + 2)?

Back

The solution is x ≤ 13.

Front

How do you determine if a point lies on a line represented by an equation?

Back

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.

Front

What is the meaning of a negative slope?

Back

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

Front

What is the significance of parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts, meaning they never intersect.

Front

What is the significance of perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other, meaning if one slope is m, the other is -1/m.