Linear Equations Review

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

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating the steepness and direction of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

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

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

Back

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

Front

What is the equation of a line with a slope of 2 that passes through the point (1, 3)?

Back

The equation is y = 2x + 1.

Front

What is the equation of a line with a slope of -1 that passes through the point (2, 4)?

Back

The equation is y = -x + 6.