Writing Equations Given Slope & y-intercept

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

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

Back

'm' represents the slope of the line, indicating the steepness and direction of the line.

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 is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = -4x + 5?

Back

The y-intercept is 5, represented as the point (0, 5).

Front

If a line has a slope of -3/4, what does this indicate about the line?

Back

A slope of -3/4 indicates that for every 4 units moved to the right, the line moves down 3 units.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you write the equation of a line given a slope of 1/2 and a y-intercept of -3?

Back

The equation of the line is y = (1/2)x - 3.

Front

What is the formula for the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.