Equation of a line

Question

Write the equation of the line passing through the given points. Write the equation in standard form Ax+By=C.

(-4,-2) and (-6,-1)

Answer 1

1st find the slope.

(change in y)/(change in x)

 

slope: m = (-1-(-2))/(-6-(-4))

          m = 1/-2 = -1/2

 

Use point slope form

y - y₁ = m(x - x₁)

lets use (-6, -1) for (x₁, y₁)

 

y-(-1) = (-1/2)(x-(-6))

y +1 = (-1/2)x - 3

 

(1/2)x + y = -4

 

or, if you wish to clear fractions,

multiply through by 2

 

x + 2y = -8