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; it indicates how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

If a line has a slope of 4, what type of slope is it?

Back

Positive.

Front

What is the equation of a line with a slope of 4 and 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

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line through the points (-1, -9) and (5, -6).

Back

1/2.

Front

What is the y-intercept in the equation y = -2x + 5?

Back

5.

Front

Write the equation of the line in slope-intercept form for a slope of -2 and a y-intercept of -5.

Back

y = -2x - 5.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.