Write a function in the form y = mx + b for the line that contains the points (−8.3, −5.2) and (6.4, 9.5)

To find the equation of the line in the form ( y = mx + b ) that passes through the points ((-8.3, -5.2)) and ((6.4, 9.5)), we need to determine the slope ( m ) and the y-intercept ( b ).

Step 1: Calculate the slope ( m )

The formula for the slope ( m ) between two points ((x_1, y_1)) and ((x_2, y_2)) is:

[

m = frac{y_2 – y_1}{x_2 – x_1}

]

Using our points:

((x_1, y_1) = (-8.3, -5.2)) and ((x_2, y_2) = (6.4, 9.5)),

[

m = frac{9.5 – (-5.2)}{6.4 – (-8.3)} = frac{9.5 + 5.2}{6.4 + 8.3} = frac{14.7}{14.7} = 1

]

Step 2: Use the slope to find ( b )

The equation of the line can be rearranged to find ( b ) using one of the points, say ((-8.3,