Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does the slope (m) represent in the slope-intercept form?

Back

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

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

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

Back

y = 3x - 1

Front

If a line has a slope of -2 and passes through the point (0, 4), what is its equation?

Back

y = -2x + 4

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 slope of the line represented by the equation y = 5x + 2?

Back

The slope is 5.

Front

What is the y-intercept of the line represented by the equation y = -3x + 6?

Back

The y-intercept is 6.

Front

Write the equation of a line with a slope of 1/2 and a y-intercept of 3.

Back

y = 1/2x + 3

Front

If the slope of a line is 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.