Semester Review Chapter 3

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 convert the equation x - y = -1 to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: y = x + 1.

Front

What is the formula to find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

Given the points (11, -16) and (3, 12), what is the slope of the line?

Back

The slope is m = (12 - (-16)) / (3 - 11) = 28 / -8 = -7/2.

Front

What does the slope of a line represent?

Back

The slope 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 the line represented by the equation y = -\frac{2}{3}x + 2?

Back

The y-intercept is 2, which is the point where the line crosses the y-axis.

Front

How do you write the equation of a line given its slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation y = -4x - 7?

Back

The slope is -4.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where a is the x-coordinate of any point on the line.

Front

What is the equation of the line that passes through the origin with a slope of 0?

Back

The equation is y = 0, which is a horizontal line.