(U5|L5 WU) Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What are the coordinates of a point?

Back

Coordinates are a set of values that show an exact position. In a two-dimensional space, they are represented as (x, y).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by 'm' in the equation y = mx + b. It is calculated as the rise over run.

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of 'b' in the equation y = mx + b.

Front

What is the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis. It is found by setting y = 0 in the equation of the line.

Front

How do you find the x-intercept of the equation 2x + 3y = 6?

Back

To find the x-intercept, set y = 0. The equation becomes 2x = 6, so x = 3. The x-intercept is (3, 0).

Front

How do you find the y-intercept of the equation 2x + 3y = 6?

Back

To find the y-intercept, set x = 0. The equation becomes 3y = 6, so y = 2. The y-intercept is (0, 2).

Front

What does it mean for a point to be in Quadrant II?

Back

A point is in Quadrant II if its x-coordinate is negative and its y-coordinate is positive.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to locate points on a coordinate plane, written in the form (x, y).

Front

What is the significance of the point (0, 0)?

Back

The point (0, 0) is known as the origin. It is the point where the x-axis and y-axis intersect.