Question

The line y = 2x + b passes through the point (−5,-8). Find b

Answer 1

Answer:

2

Step-by-step explanation:

x=-5 & y = -8 will satisfy the line

-8=2*-5+b

10-8=b

b=2

Answer 2

Solution

Given :-

• Equation of line , y = 2x + b
• Line passes through the point (-5,-8)

Find :-

• Value of b

Explanation

We know,

If Line passes from point (-5,-8) , its means this point satisfied this line equations

So,

Keep x = -5 & y = -8 in line equation,

➡ -8 = 2 × -5 + b

➡ -8 = -10 + b

➡b = -8 + 10

➡b = 2

Hence

• Value of b be = 2

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Answer Verification

Keep value of b in line equation

➡ y = 2x + 2 _____________(1)

So, if we keep now, point (-5,-8) in this line equation, it be fully satisfied.

Then,

➡ -8 = 2 × -5 + 2

➡ -8 = -10 + 2

➡ -8 = -8

L.H.S. = R.H.S.

That's Proved.

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