Write the equation of the line that passes through the given points. (-2,2.5) and (0,-4.5)

y = -3.5x - 4.5

suppose: the equation of the line is y = ax + b ( a ≠ 0 )

because the line passes through (-2;2.5) => 2.5 = -2a + b

the line passes though (0;-4.5) => -4.5 = b

=> b = -4.5

   2.5 = -2a + b

=> a = -3.5

    b = -4.5

=> the equation of the line is y = -3.5x - 4.5

Step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this