Write Equation from Grap

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 of a line, and is calculated as the change in y divided by the change in x (rise over run).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

The equation can be written in the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

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 can you determine if a line has a positive or negative slope?

Back

A line has a positive slope if it rises from left to right and a negative slope if it falls from left to right.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

The equation is y = 2x - 3.

Front

If a line passes through the points (1, 2) and (3, 4), what is its slope?

Back

The slope is 1, calculated as (4 - 2) / (3 - 1).

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a line is vertical?

Back

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

Front

What does it mean if a line is horizontal?

Back

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