CM: Unit 6 test (linear equations)

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

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

Back

In the equation y = mx + b, the letter 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

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

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 it mean if a linear equation has no solution?

Back

A linear equation has no solution if the lines represented by the equations are parallel and never intersect.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, then multiply the numerator and denominator by 10 for each digit after the decimal point.

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables; a positive slope means the line rises, while a negative slope means it falls.

Front

How do you write a linear equation given a slope and a point?

Back

To write a linear equation given a slope (m) and a point (x1, y1), use the point-slope form: y - y1 = m(x - x1).

Front

What is the y-intercept of the equation y = -2x + 4?

Back

The y-intercept of the equation y = -2x + 4 is 4, which is the value of y when x = 0.