Algebra Semester 1 Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

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

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 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

How do you find the y-intercept of a line from its equation in slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation y = mx + b.

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x remains constant while y changes.

Front

How do you convert the equation of a line from standard form (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

Solve for y to isolate it on one side: y = (-A/B)x + (C/B).

Front

What is the significance of the coordinates of a point on a line?

Back

The coordinates (x, y) of a point on a line satisfy the equation of the line.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.