Write the equation of the linear relationship in slope-intercept form, using decimals as needed.x 0 100 200 300y 2.5 97.5 192.5 287.5

Answer:[tex]y=0.95x+2.5[/tex]Step-by-step explanation:we know thatThe linear equation in slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slopeb is the y-interceptFind the slopeThe formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex]take the points(0,2.5) and (100,97.5)substitute in the formula[tex]m=\frac{97.5-2.5}{100-0}[/tex][tex]m=\frac{95}{100}[/tex][tex]m=0.95[/tex]Find the y-intercept bwe have[tex]m=0.95[/tex][tex]point\ (0,2.5)[/tex]substitute i the linear equation  [tex]y=mx+b[/tex][tex]2.5=0.95(0)+b[/tex]solve for b[tex]b=2.5[/tex]Note It was not necessary to calculate the value of b because the value is given in the tableRemember that the y-intercept is the value of y when the value of x is equal to zero (the y-intercept is the point (0,2.5))The linear equation is [tex]y=0.95x+2.5[/tex]