Algebra 1H First Semester Review

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a scatter plot represent?

Back

A scatter plot represents the relationship between two variables, showing how one variable may be affected by another.

Front

What is point-slope form of a linear equation?

Back

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

Front

What does it mean if a system of equations has no solution?

Back

If a system of equations has no solution, the graphs of the equations are parallel lines, meaning they never intersect.

Front

How do you determine the slope from a graph?

Back

The slope is determined by the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

What is a trend line in a scatter plot?

Back

A trend line is a line that best represents the data points in a scatter plot, showing the general direction of the data.

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 point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables; a positive slope means an increasing relationship, while a negative slope means a decreasing relationship.