HW Standard Form- Linear Equations

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, and A should be non-negative.

Front

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

Back

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

Front

What are the x- and y-intercepts of the equation 2x - 5y = 35?

Back

The x-intercept is (17.5, 0) and the y-intercept is (0, -7).

Front

How do you convert the equation y = mx + b to standard form?

Back

To convert y = mx + b to standard form, rearrange it to the form Ax + By = C.

Front

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

Back

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

Front

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

Back

The coefficients A and B determine the slope of the line and its orientation in the coordinate plane.

Front

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

Back

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

Front

What is the relationship between the slope and the intercepts of a linear equation?

Back

The slope indicates the steepness of the line, while the intercepts indicate where the line crosses the axes.

Front

What does it mean for a linear equation to be in standard form?

Back

A linear equation is in standard form when it is expressed as Ax + By = C, with A, B, and C being integers.

Front

How can you determine if a point lies on the line represented by a linear equation?

Back

To determine if a point (x, y) lies on the line, substitute the x and y values into the equation and check if the equation holds true.