Respuesta :

calculista

Answer:

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

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have

[tex]10x+4y=16[/tex]

Solve for y

That means -----> isolate the variable y

Subtract 10x both sides

[tex]4y=16-10x[/tex]

Divide by 4 both sides

[tex]y=(16-10x)/4[/tex]

Simplify

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

Rewrite

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

Nonicorp1

Answer:

The answer is option (b), y=-5/2x+4

Step-by-step explanation:

The slope intercept form is a way of expressing the equation of a straight line;  where there are two variables that vary in a linear form. The equation is always of the form; y=mx+c

Where;

  • y and x represents the variables on the y and x axis respectively
  • m is a real number representing the slope
  • c is also a real number representing the y-co-ordinate, where the line intercepts the y-axis

Solving for y in 10x+4y=16

(4y)/4=(-10x)/4+(16/4)

The answer is y=-5/2x+4, option (b)

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