Use the table to answer the question. x y 4 38 6 58 Write the equation of the linear function that models the relationship shown in the table. (1 point)

y=−10x+78 y equals negative 10 x plus 78 y=10x+2 y equals 10 x plus 2 y=x+34 y equals x plus 34 y=10x−2

1 answer

To find the equation of the linear function that models the relationship shown in the table, we can use the two data points provided: (4, 38) and (6, 58).

  1. Calculate the slope (m): m=y2y1x2x1=583864=202=10

  2. Use the point-slope form of the linear equation: We use one of the points (let's use (4, 38)) and the slope we just calculated. yy1=m(xx1) Substituting in the values: y38=10(x4)

  3. Simplify: y38=10x40 y=10x40+38 y=10x2

The equation of the linear function that models the relationship shown in the table is: y=10x2