Review Coordinate Plane, Solutions, and Solving for y

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair (x, y).

Front

What does it mean to solve for y in an equation?

Back

Solving for y means isolating y on one side of the equation to express it in terms of x or as a constant.

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 of a line from an equation?

Back

To find the slope, rearrange the equation into slope-intercept form (y = mx + b) and identify the coefficient of x (m).

Front

What is the x-axis?

Back

The x-axis is the horizontal line in the coordinate plane where y = 0.

Front

What is the y-axis?

Back

The y-axis is the vertical line in the coordinate plane where x = 0.

Front

What is a solution to a linear equation?

Back

A solution to a linear equation is an ordered pair (x, y) that makes the equation true when substituted into it.

Front

How do you determine if a point is a solution to an equation?

Back

Substitute the x and y values of the point into the equation. If both sides of the equation are equal, the point is a solution.

Front

What does it mean for a line to be horizontal?

Back

A horizontal line has a slope of 0 and runs parallel to the x-axis, meaning it does not rise or fall.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and runs parallel to the y-axis, meaning it does not move left or right.