Standard 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 the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

Solve for y: 4x + 3y = 9

Back

y = -4/3x + 3

Front

Solve for y: 5x + y = -10

Back

y = -5x - 10

Front

Solve for y: y + 2 = 3x

Back

y = 3x - 2

Front

Solve for y: 8x + 4y = 16

Back

y = -2x + 4

Front

Solve for y: 3x + y = 12

Back

y = -3x + 12

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, indicating the value of y when x = 0.

Front

If a line has a positive slope, what does that indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases.