4.1 Writing Equations in 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 a linear equation?

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 a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

How do you find 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

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

Back

y = -2x + 3.

Front

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

Back

The slope is 4.

Front

What is the y-intercept of the line represented by the equation y = -1/2x + 5?

Back

The y-intercept is 5.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

Convert the equation y = 2x + 1 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = 2x + 1.