Respuesta :

SJ2006

10x+4y = 16

10x-10x+4y = 16-10x

4y/4 = 16/4 - 10x/4

y = - 5x/2 + 4 (Slope-Intercept form).

The slope of the line is [tex](\frac{-5}{2} )[/tex] 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

[tex]y = \frac{16}{4} - \frac{10x}{4} \\\\y = 4 - \frac{5x}{2}[/tex]

Thus, the slope of the line is [tex](\frac{-5}{2} )[/tex] and the y-intercept is 4.

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