The slope of the given line, 3x - 5y = 15, is 3/5 and the y-intercept is -3
From the question, we are to determine the slope and y-intercept of the given line.
The given line is
3x - 5y = 15
To determine the slope, we will write the equation in the slope-intercept form of a line.
The slope-intercept form of a line is given as
y = mx + b
Where m is the slope
and b is the y-intercept
Now, we will express the given equation in this form
3x - 5y = 15
-5y = 15 - 3x
Divide through by - 5
y = -3 + 3/5x
y = 3/5x - 3
By comparing to the slope-intercept form of a line,
m = 3/5
and b = -3
Hence, the slope is 3/5 and the y-intercept is -3
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