Ch. 4.3 #2

Front

What is the definition of a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope of the line is 2.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

Write the equation in point-slope form for a line with slope -1/4 passing through the point (4, -7).

Back

y + 7 = -1/4(x - 4) is the point-slope form of the equation.

Front

What is the origin in a coordinate system?

Back

The origin is the point (0,0) where the x-axis and y-axis intersect.

Front

Write the equation of the line in point-slope form that goes through the point (10,5) and has a slope of -3.

Back

The equation is y - 5 = -3(x - 10).

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.