Slope Intercept Form

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

What does the letter 'b' represent in the slope-intercept form?

Back

The letter 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

What does the letter 'm' represent in the slope-intercept form?

Back

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

Front

If the slope (m) is positive, what does that indicate about the line?

Back

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

Front

If the slope (m) is negative, what does that indicate about the line?

Back

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

Front

How do you find the slope from 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 y-intercept of the equation y = 4x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

Convert the equation y = -2x + 3 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = -2x + 3.

Front

What is the slope of the line represented by the equation y = 1/2x - 4?

Back

The slope is 1/2.

Front

How can you graph the equation y = 3x + 2?

Back

Start at the y-intercept (0, 2) and use the slope (3) to rise 3 units and run 1 unit to the right.