The slope of the line is \((\frac{-5}{2} )\) and the y-intercept is 4.
The given equation;
10x + 4y = 16
To determine the slope and the y-intercept of the given equation of line we have to simplify the equation to be in the following form;
- the general equation of line is given as, y = mx + b
where;
m is the slope of the line
b is the y-intercept
The given equation can be simplified as;
10x + 4y = 16
4y = 16 - 10x
\(y = \frac{16}{4} - \frac{10x}{4} \\\\y = 4 - \frac{5x}{2}\)
Thus, the slope of the line is \((\frac{-5}{2} )\) and the y-intercept is 4.
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