y=mx+b

Front

What does the equation y=mx+b represent?

Back

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

Front

What is the slope in the equation y=mx+b?

Back

The slope (m) indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

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

Back

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

Front

Calculate the slope of the line represented by the equation y= -2x + 4.

Back

m = -2.

Front

Identify the y-intercept of the equation y = 3x + 7.

Back

The y-intercept is (0, 7).

Front

Which equation has a positive y-intercept and a negative slope?

Back

y= -3x + 5.

Front

Write the equation of the line with a slope of -3 and a y-intercept of -1.

Back

y = -3x - 1.

Front

What is the slope of the line represented by the equation y = (1/2)x + 2?

Back

m = 1/2.

Front

If the slope of a line is 4, what is the equation of the line with a y-intercept of 2?

Back

y = 4x + 2.

Front

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

Back

Use the formula m = (y2 - y1) / (x2 - x1).