Question

What is the rule for a line that has a slope of 2 and passes through ( 10,17 )

Answer 1

Therefore the equation of the line has a slope 2 and passes through ( 10 , 17 ) is

2x - y = 3

Explanation:

Given:

Slope = 2 = m ( say )

Let,

point A( x₁ , y₁) ≡ ( 10 , 17 )

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,

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

Substituting the given values in a above equation we get

`(y-17)=2* (x-10)\\ \\(y-17)=2(x-10)\\\\y-17=2x-20\\2x-y=3\\2x-y=3...............\textrm{which is the required equation of the line AB}`

Therefore the equation of the line has a slope 2 and passes through ( 10 , 17 ) is

2x - y = 3