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 does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x is 0. It is represented by 'b' in the equation y = mx + b.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 4x - 2?

Back

The slope of the line is 4.

Front

What is the equation of a line with a slope of -2 that passes through the point (0, 3)?

Back

The equation of the line is y = -2x + 3.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and can be represented by an equation of the form x = a, where 'a' is a constant.

Front

What does it mean for a line to be horizontal?

Back

A horizontal line has a slope of 0 and can be represented by an equation of the form y = b, where 'b' is a constant.

Front

How do you graph the equation y = 2x + 1?

Back

To graph y = 2x + 1, start at the y-intercept (0, 1) and use the slope (2) to find another point by going up 2 units and right 1 unit.

Front

What is the slope of the line passing through the points (1, 2) and (3, 6)?

Back

The slope is 2.