Standard Form to 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

How do you convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

To convert, solve for y: isolate y on one side of the equation.

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 the steepness and direction of the line.

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 as (0, b).

Front

Given the equation 5x - 3y = -9, what is the slope when converted to slope-intercept form?

Back

The slope is 5/3.

Front

Given the equation -3y + 5x = 12, what is the y-intercept when converted to slope-intercept form?

Back

The y-intercept is -4.

Front

What is the first step to find the slope from the equation 3x - 6y = 12?

Back

Isolate y by moving 3x to the other side and then dividing by -6.

Front

What is the slope of the line represented by the equation 4x + y = -10?

Back

The slope is -4.

Front

Which of the following is NOT in slope-intercept form? y = mx + b, Ax + By = C, y - y1 = m(x - x1)

Back

Ax + By = C is NOT in slope-intercept form.

Front

If the slope of a line is 1/2, what does this indicate about the line's steepness?

Back

A slope of 1/2 indicates a gentle incline; for every 2 units moved horizontally, the line rises 1 unit.