Answer:
[tex]y=-\frac{9}{2}x-\frac{8}{9}[/tex]
Explanation:
Given a line with the following properties:
• Slope: -9/2
,
• Point: (0, -8/9)
We are to find the equation of the line in the slope-intercept form.
The slope-intercept form of a line is given as:
[tex]y=mx+b\text{ where }\begin{cases}m=\text{slope} \\ b=y-\text{intercept}\end{cases}[/tex]
The y-intercept is the point on the graph where x=0. Thus, from the given ordered pair (0, -8/9) :
[tex]y-\text{intercept, }b=-\frac{8}{9}[/tex]
Substitute m=-9/2 and b=-8/9 into the slope-intercept form defined earlier.
The equation of the line is:
[tex]y=-\frac{9}{2}x-\frac{8}{9}[/tex]
