Answer:
[tex] y = -\dfrac{4}{5}x + 11 [/tex]
Step-by-step explanation:
(5, 7), (10, 3)
[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{3 - 7}{10 - 5} = -\dfrac{4}{5} [/tex]
[tex] y = mx + b [/tex]
[tex] y = -\dfrac{4}{5}x + b [/tex]
[tex] 7 = -\dfrac{4}{5} \times 5 + b [/tex]
[tex] 7 = -4 + b [/tex]
[tex] b = 11 [/tex]
Answer:
[tex] y = -\dfrac{4}{5}x + 11 [/tex]
