Linear Equations Test Review

Front

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

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent?

Back

The slope of a line 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 line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Convert the equation -2x - 5y = 10 to slope-intercept form.

Back

The slope-intercept form is y = -2/5x - 2.

Front

What is the equation of a line with a slope of 1/3 and a y-intercept of -3?

Back

The equation is y = 1/3x - 3.

Front

How do you determine if two lines are parallel?

Back

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

Front

How do you determine if two lines are perpendicular?

Back

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

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.

Front

What is the significance of the coefficients in the equation 3x + 4y = 28?

Back

The coefficient of x (3) represents the change in y for a unit change in x, and the coefficient of y (4) represents the change in x for a unit change in y.