Answer:
Slope of the line is = [tex] \frac{5}{2} [/tex]
y-intercept = 5
Step-by-step explanation:
Slope (m) is can be calculated using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use the coordinates of any two points located on the line. Let's use, (14, 40) and (10, 30).
Let,
[tex] (14, 40) = (x_1, y_1) [/tex]
[tex] (10, 30) = (x_2, y_2) [/tex]
Plug the above values into the formula to find the slope (m).
[tex] m = \frac{30 - 40}{10 - 14} [/tex]
[tex] m = \frac{-10}{-4} = \frac{5}{2} [/tex]
Slope of the line is = [tex] \frac{5}{2} [/tex]
Find y-intercept using y = mx + b
Where m = slope, and b = y-intercept
Use (10, 30) as (x, y).
30 = 5/2*10 + b
30 = 25 + b
30 - 25 = b
5 = b
b = 5
