Questions: Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. Slope -6 ; y-intercept (0, 8/9) The equation is (Type your answer in slope-intercept form.)

Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept.

Slope -6 ; y-intercept (0, 8/9)

The equation is
(Type your answer in slope-intercept form.)

Transcript text: Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and $y$-intercept. \[ \text { Slope }-6 ; y \text {-intercept }\left(0, \frac{8}{9}\right) \] The equation is $\square$ (Type your answer in slope-intercept form.)

Solution

Solution Steps

To write the equation of a line in slope-intercept form, we use the formula $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept. Given the slope $ m = -6 $ and the y-intercept $ b = \frac{8}{9} $, we can directly substitute these values into the formula.

Step 1: Identify the Slope and Y-Intercept

The slope of the line is given as $ m = -6 $ and the y-intercept is given as $ b = \frac{8}{9} $.

Step 2: Write the Equation in Slope-Intercept Form

Using the slope-intercept form of a linear equation, which is expressed as $ y = mx + b $, we substitute the values of $ m $ and $ b $: \[ y = -6x + \frac{8}{9} \]