Slope-Intercept & Standard Form

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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line?

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 slope-intercept form to standard form?

Back

To convert to standard form (Ax + By = C), rearrange the equation to get all terms on one side.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the x-intercept of a line?

Back

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

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line.

Front

How do you graph a line using intercepts?

Back

To graph using intercepts, find the x-intercept and y-intercept, plot them on the graph, and draw a line through these points.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.