2024-25 Algebra 1, Sem 1 Final

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 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 does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal.

Front

What is point-slope form of a linear equation?

Back

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

Front

What is the meaning of a linear inequality?

Back

A linear inequality is an inequality that involves a linear function, representing a region of the coordinate plane.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a boundary line, then shade the appropriate region based on the inequality sign.

Front

What is the difference between 'y < mx + b' and 'y ≤ mx + b'?

Back

'y < mx + b' represents a dashed line and does not include the boundary, while 'y ≤ mx + b' represents a solid line and includes the boundary.

Front

What is the standard form of a linear equation?

Back

The standard form is given by the equation: Ax + By = C, where A, B, and C are integers.

Front

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

Back

To convert, rearrange the equation y = mx + b to the form Ax + By = C by moving all terms to one side.

Front

What is the significance of the y-intercept in 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.