Chapter Two Test Review (Algebra)

Front

What are the x- and y-intercepts of the equation 5x - 3y = 15?

Back

The x-intercept is (3, 0) and the y-intercept is (0, -5).

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

Back

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

Front

What is point-slope form of a linear equation?

Back

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

Convert the equation 5x + 3y = 15 to slope-intercept form.

Back

The slope-intercept form is y = -rac{5}{3}x + 5.

Front

What does the term 'standard form' refer to in linear equations?

Back

Standard form refers to the format Ax + By = C, where A, B, and C are integers.

Front

How do you identify the slope from the equation y = 3x + 6?

Back

The slope is 3, which is the coefficient of x.

Front

What is the equation of a line with a slope of -12 passing through the point (-4, -5) in point-slope form?

Back

The equation is y + 5 = -12(x + 4).

Front

What is the y-intercept of the equation y = 3x + 6?

Back

The y-intercept is 6, which is the value of y when x = 0.

Front

How do you find the x-intercept of the equation 5x + 3y = 15?

Back

Set y = 0 and solve for x: 5x = 15, so x = 3.