Find the equation of the perpendicular line to 2x-5y-10=0 and containing point (-1,5)

y = -2.5x + 2.5

Step-by-step explanation:

Put the equation into y = mx + b form by isolating y:

2x - 5y - 10 = 0

2x - 5y = 10

-5y = -2x + 10

y = 2/5x - 2

Perpendicular lines have opposite reciprocal slopes, so the line's slope will be -5/2, or -2.5

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

5 = -2.5(-1) + b

5 = 2.5 + b

2.5 = b

Plug in the slope and y intercept:

y = mx + b

y = -2.5x + 2.5 is the equation of the perpendicular line

can you rephrase the question ? it is unclear : -)

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