Answer
Part 1: 15 degrees Celsius
Part 2:Point-slope can be used to write the equation.
Part 3:(50,10) and (77,25)
Work Step by Step
Part 1:
$m = \frac{25-10}{77-50}$
$m = \frac{15}{27}$
$m= \frac{5}{9}$
$y-y_{1} = m*(x-x_{1})$
$y-10 = 5/9* (x-50)$
$y-10 = 5/9* (x-50)$
$y-10 = 5/9* (59-50)$
$y-10 = 5/9* 9$
$y-10 = 5$
$y-10 + 10 = 5 + 10$
$y = 15$
Part 2:Point-slope form can be used to write the equation. Using point-slope form, a slope can be calculated and immediately inserted into the equation.
Part 3:The two given points can be used ((50, 10) and (77,25)) to determine the slope.