Midterm Practice #2

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

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

Write the equation of a line with a slope of -3 and y-intercept of 8.

Back

y = -3x + 8

Front

Convert the equation y = 3x + 2 into standard form.

Back

3x - y = -2

Front

What is the absolute value function?

Back

The absolute value function is defined as f(x) = |x|, which measures the distance of x from 0 on the number line.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and thus every point on the line is a solution.

Front

What is the y-intercept of the line y = (-3/2)x + 4?

Back

The y-intercept is 4.

Front

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

Back

Rearrange the equation to the form Ax + By = C, where A, B, and C are integers.

Front

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

Back

The slope indicates the steepness of the line and the direction it moves; a positive slope rises, while a negative slope falls.

Front

Write the equation of a line with a slope of 2 and passing through the point (1, 3).

Back

y - 3 = 2(x - 1) or y = 2x + 1.