Question

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

Answer 1

Answer:

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

2x - y = 3

Step-by-step 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,

$(y - y_{1} )=m\times(x-x_{1})$

Substituting the given values in a above equation we get

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

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

2x - y = 3