Algebra Leap Review, Topic 2

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 a constant. The slope of a vertical line is undefined.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where 'b' is a constant. The slope of a horizontal line is zero.

Front

What is slope-intercept form?

Back

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 from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is point-slope form of a linear equation?

Back

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

Front

Convert the equation -2x + 6y = 12 to slope-intercept form.

Back

The slope-intercept form is y = \frac{1}{3}x + 2.

Front

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

Back

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

Front

How do you determine if a line is increasing or decreasing?

Back

A line is increasing if the slope is positive (m > 0) and decreasing if the slope is negative (m < 0).

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept represents the initial value of y when x is zero, often indicating a starting point in real-world scenarios.