Graph Standard Form Practice

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is an x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, meaning y = 0.

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, meaning x = 0.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in standard form (Ax + By = C), set x = 0 and solve for y.

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.

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

Front

What does the slope of -4 indicate about a line?

Back

A slope of -4 indicates that for every 1 unit increase in x, y decreases by 4 units, showing a steep downward line.

Front

What are the coordinates of the y-intercept for the equation 3x + y = 5?

Back

The coordinates of the y-intercept are (0, 5).

Front

How do you find both x- and y-intercepts from an equation?

Back

To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.