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 from standard form to slope-intercept form?

Back

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

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

Solve for y: 2x + 2y = 6

Back

y = -x + 3

Front

Solve for y: 24 - 3y = 6x

Back

y = -2x + 8

Front

Solve for y: 8x + 4y = 16

Back

y = -2x + 4

Front

Solve for y: 3x + y = 12

Back

y = -3x + 12

Front

Convert the standard form equation into slope-intercept form: 5x - 4y = -20

Back

y = (5/4)x + 5

Front

What is the significance of the coefficients in the slope-intercept form?

Back

The coefficient m indicates the slope, while b indicates the y-intercept.