Different forms of Linear Equations

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

What is the Standard form of a linear equation?

Back

The Standard form of a linear equation is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you identify the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0. In the equation y = mx + b, the y-intercept is represented by b.

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 m is the slope and (x1, y1) is a point on the line.

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

How can 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 all terms on one side.

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 point where the line intersects the y-axis.

Front

What is the relationship between the slope and the angle of inclination of a line?

Back

The slope of a line is equal to the tangent of the angle of inclination with respect to the positive x-axis.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = -3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.