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 evaluate a function at a specific point?

Back

To evaluate a function f(x) at a specific point x = a, substitute a into the function: f(a).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Convert the standard form equation 2x + 3y = 6 into slope-intercept form.

Back

y = -rac{2}{3}x + 2.

Front

If f(x) = 3x + 4, what is f(0)?

Back

f(0) = 4.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

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).

Front

Convert the standard form equation 4x - y = 8 into slope-intercept form.

Back

y = 4x - 8.

Front

If f(x) = -2x + 5, what is f(3)?

Back

f(3) = -1.