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y = 2xStep-by-step explanation:The linear functions are given by:y = mx+bTo find the slope, we have to find the change in x and yThe 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 formSo, 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 = 2xKeywords: Linear function, slope intercept formLearn more about linear function at:brainly.com/question/3375830brainly.com/question/3398261#LearnwithBrainly