Finding the Equation of a Line

Front

What does the letter 'b' represent in the equation of a line y = mx + b?

Back

The letter 'b' represents the y-intercept of the line.

Front

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

Back

Use the slope-intercept form of the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is the y-intercept of a line?

Back

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

Front

How can you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

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 has a slope of -1/2, what does this indicate about its direction?

Back

A slope of -1/2 indicates that the line is decreasing; for every 2 units you move to the right, you move 1 unit down.

Front

What is the y-intercept of the line represented by the equation y = -5x + 6?

Back

The y-intercept is 6.

Front

How do you write the equation of a line given its graph?

Back

Identify the slope and the y-intercept from the graph, then use the slope-intercept form y = mx + b.

Front

What does a positive slope indicate about a line?

Back

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