Question

Is the relationship shown by the data linear? If so, model the data with an equation.

(Multiple choice)

Answer 1

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9) is

Linear Relationship i.e
`y-5=2(x+7)`

Explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -7, 5 )

point B( x₂ , y₂) ≡ (-5, 9)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

`(y - y_(1) )=((y_(2)-y_(1) )/(x_(2)-x_(1) ))*(x-x_(1)) \\`

Substituting the given values in a above equation we get

`(y-(5))=((9-(5))/(-5--7))* (x--7)\\ \\(y-5)=(4)/(2)(x+7)\\\\y-5=2(x+7)...............\textrm{which is the required equation of the line AB}`

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9 ) is

Linear Relationship i.e
`y-5=2(x+7)`