Semester One - Study Guide - Algebra I with Probability

Front

What is the slope of a line that is perpendicular to the line y = 3x - 12?

Back

The slope of a line that is perpendicular to y = 3x - 12 is -1/3.

Front

How do you write the equation of a line that is parallel to y = (-3/5)x - 3 and passes through the point (5, -1)?

Back

The equation is y = (-3/5)x + 2.

Front

What does the function f(x) = -|x + 4| represent?

Back

It represents a V-shaped graph that opens downwards, with the vertex at (-4, 0).

Front

Solve the equation: 2(5r + 3) - 4 = 22.

Back

r = 2.

Front

Which graph represents the equation y = -x + 2?

Back

Graph A.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the meaning of 'parallel lines'?

Back

Parallel lines are lines in a plane that never meet; they have the same slope.

Front

What is the meaning of 'perpendicular lines'?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees); their slopes are negative reciprocals.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.