Respuesta :

y = 2x

Step-by-step explanation:

The linear functions are given by:

y = mx+b

To find the slope, we have to find the change in x and y

The change in x is:

[tex]-14-(42) =-14+42 =28\\14+14= 28[/tex]

The change in y is:

[tex]-28-(-84) = -28+84 = 56\\28-(-28) = 28+28 = 56[/tex]

The slope is:

[tex]Slope = \frac{change\ in\ y}{Change\ in\ x}\\=\frac{56}{28}\\= 2[/tex]

Putting slope in equation of linear function

[tex]y =2x+b[/tex]

To find the value of b, we will put any pair of input and output in the slope-intercept form

So, putting (14,28)

[tex]28 = 2(14) + b\\28 = 28+b\\b = 28-28\\b = 0[/tex]

Hence,

the linear equation for function is:

y = 2x

Keywords: Linear function, slope intercept form

Learn more about linear function at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly