4.4 Day 2 Writing Equations in Slope-Intercept Form

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 an equation 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 the slope-intercept form?

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 the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

Convert the equation 5x + y = -10 to slope-intercept form.

Back

y = -5x - 10

Front

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

Back

y = x - 2

Front

Convert the equation 4x - 3y = 15 to slope-intercept form.

Back

y = \frac{4}{3}x - 5

Front

Convert the equation y = 2(x + 4) to slope-intercept form.

Back

y = 2x + 8

Front

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

Back

y = -x - 1

Front

What is the significance of the slope in a real-world context?

Back

The slope can represent speed, growth rate, or any other rate of change in real-world scenarios.