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The slope of the given line, 3x - 5y = 15, is 3/5 and the y-intercept is -3

Determining the slope and y-intercept of a line

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

Learn more on Determining the slope and y-intercept of a line here: https://brainly.com/question/13519846

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