Convert to Slope Intercept

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

How do you convert the equation x + y = -1 to slope-intercept form?

Back

To convert, isolate y: y = -x - 1.

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, indicating 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 the slope of a line is 2, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 2 units.

Front

Convert the equation 2x - 3y = 6 to slope-intercept form.

Back

y = (2/3)x - 2.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 4x + 5?

Back

The slope is 4.

Front

What is the y-intercept of the line represented by the equation y = -2x + 3?

Back

The y-intercept is 3.

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).