Question

write the equation of the line with a slope of 2 that passes through the points -2,-7 and 5,7

Answer 1

Answer:

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

Step-by-step explanation:

Given:

Slope = 2 = m ( say )

Let,

point A( x₁ , y₁) ≡ ( -2 , -7 )

point B( x₂ , y₂) ≡ ( 5 , 7 )

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,

$(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1})$

Or

Equation of a line passing through a points A( x₁ , y₁) and i 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

$(y-(-7))=2\times (x-(-2))\\ \\(y+7)=2(x+2)\\\\(y+7)=2x+4\\2x-y=3\\2x-y=3...............\textrm{which is the required equation of the line AB}$

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3