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 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

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

Back

The y-intercept is the value of y when x is 0, represented by b in the equation.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

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

Front

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

Back

The slope is 2.

Front

How can you determine the y-intercept from the equation y = -3x + 4?

Back

The y-intercept is 4, which occurs when x = 0.

Front

Write the slope-intercept form of an equation for a line with a slope of 1 and a y-intercept of -2.

Back

y = 1x - 2 or y = x - 2.

Front

What is the slope of the line represented by the equation y = -4/3x + 1?

Back

The slope is -4/3.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal.