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43 votes
43 votes
The slope of the graph

The slope of the graph-example-1
User Augis
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2 Answers

22 votes
22 votes

Answer:

5 x + 4 y = 4 b

Explanation:

You haven't specified what form you need. Here is the Standard form, but you can also calculate the Slope intercept form points and the Point-Slope form.

Find the equation of the line in standard form with the properties:

slope: m = -5/4

At least two parameters must be provided to determine a line equation:

Since the line is incompletely determined, compute the equation assuming an arbitrary y-intercept b

Substitute the slope m = -5/4 into the slope-intercept equation y = m x + b:

y = -(5 x)/4 + b

Add (5 x)/4 to both sides:

(5 x)/4 + y = b

Multiply both sides by 4:

4 ((5 x)/4 + y) = 4 b

Distribute: 4 ((5 x)/4 + y) = 5 x + 4 y:

Answer: 5 x + 4 y = 4 b

User Khoga
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7 votes
7 votes
-5/4 is the slope. down 5, over 4.
User Martin Larsson
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3.1k points