Slope Intercept to Standard Form

Front

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

Back

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

Front

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

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get Ax + By = C, where A, B, and C are integers.

Front

What is 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

What does the slope of a line represent?

Back

The slope of a line 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 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 y = mx + b.

Front

How do you find the x-intercept of a linear equation?

Back

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

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the relationship between slope and perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

Convert the equation y = 3x + 6 to standard form.

Back

The standard form is -3x + y = 6 or 3x - y = -6.

Front

What is the first step in converting y = -2x + 4 to standard form?

Back

The first step is to add 2x to both sides to get 2x + y = 4.