Converting to 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

How do you convert the equation 2x + 5y = -3 to slope-intercept form?

Back

To convert, isolate y: 5y = -2x - 3, then y = (-2/5)x - 3/5.

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 = 0, represented by b in the equation.

Front

Convert the equation y - 2 = -3(x + 4) to slope-intercept form.

Back

y = -3x - 10.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent speed, growth rate, or any change in one quantity relative to another.

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

Convert the equation 4x + 3y = -12 to slope-intercept form.

Back

y = (-4/3)x - 4.

Front

What is the first step in converting a standard form equation to slope-intercept form?

Back

The first step is to isolate the y variable on one side of the equation.

Front

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

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.