Equations of a Line & Slope #2

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' 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) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

Front

What does (b) represent in the formula y = mx + b?

Back

(b) represents the y-intercept, which is the point where the line crosses the y-axis.

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is 3.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

If a line has a positive slope, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If a line has a negative slope, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

Write the equation of a line with a slope of -3 and a y-intercept of 2.

Back

The equation is y = -3x + 2.