Algebra 1 Reporting Category 3

Front

What is the equation of a line that is perpendicular to the x-axis?

Back

The equation of a line that is perpendicular to the x-axis is of the form x = a, where 'a' is a constant.

Front

Solve for x: 2(3x + 4) + 2 = 4 + 3x

Back

x = -2

Front

What is the equation of a line that is parallel to y = mx + b?

Back

The equation of a line parallel to y = mx + b has the same slope 'm' but a different y-intercept.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

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

Back

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

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 a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean for a system of equations to have a unique solution?

Back

A unique solution means that the lines represented by the equations intersect at exactly one point.

Front

What is the solution to the system of equations: 2x + 3y = 6 and x - y = 2?

Back

The solution is (3, 0).

Front

What is the equation of a line that passes through the point (−3, 27) and is parallel to y = -5x −4?

Back

The equation is y = -5x + 12.