what is the slope of any line parallel to the graph of 6x+5y=9
quick way:
for any linear equation written in the form
Ax + By + C = 0
the slope is -A/B
so here, the slope is -6/5
To find the slope of any line parallel to the graph of 6x + 5y = 9, we need to find the slope of the given line.
Step 1: Convert the equation to slope-intercept form (y = mx + b), where m represents the slope.
Start by subtracting 6x from both sides:
5y = -6x + 9
Step 2: Divide the entire equation by 5 to isolate y:
y = (-6/5)x + 9/5
From the slope-intercept form, we can see that the slope of the given line is -6/5.
Now, since any line parallel to this given line will have the same slope, the slope of any line parallel to the graph of 6x + 5y = 9 is also -6/5.