Writing/Graphing Linear equations all 3 forms

Front

What is the 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

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 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 from a linear equation in standard form?

Back

From the standard form Ax + By = C, the slope (m) can be found using the formula m = -A/B.

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, and A should be non-negative.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates 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 y when x = 0.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the significance of the coefficients in the standard form of a linear equation?

Back

The coefficients A and B determine the slope of the line, while C represents the position of the line relative to the origin.