pk Graphing 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 slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the y-intercept (b) from the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by the constant term b in the equation y = mx + b.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is (0, 3).

Front

If the slope of a line is 5, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 5 units.

Front

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

Back

The slope is -4.

Front

How can you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of 3 and a y-intercept of -1?

Back

The equation is y = 3x - 1.

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.

Front

What does a negative slope indicate about a line?

Back

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