Standard to Slope Intercept

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 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

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

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

Back

y = -x + 3.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = 1.

Front

What is the first step to solve the equation 2x + 4y = 8 for y?

Back

Subtract 2x from both sides.

Front

Convert the equation 6x - y = 1 to slope-intercept form.

Back

y = 6x - 1.

Front

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

Back

y = x - 2.

Front

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

Back

The coefficient of x (m) indicates the slope, while the constant (b) indicates the y-intercept.