Find the slope of a line parallel to the line whose equation is 3, x, plus, 4, y, equals, 363x+4y=36.
To find the slope of a line parallel to the given line, we need to find the slope of the given line. To do this, we can put the equation of the given line in slope-intercept form (y = mx + b), where m is the slope.
Let's rewrite the given equation in slope-intercept form:
363x + 4y = 36
We can rearrange this equation to get y on one side:
4y = -363x + 36
y = (-363/4)x + 9
Comparing this equation with y = mx + b, we see that the slope (m) is -363/4.
A line parallel to this line will have the same slope. So, the slope of a line parallel to the given line is also -363/4.