Question

The graph of a line has a slope of 3 and passes through the point (-4,-5).

What is the equation of the line in point-slope form?

Answer 1

3x - y + 7 = 0

Explanation:

The given point is , ( -4 , -5) and the slope is 3. The point slope form is ,

=> y - y₁ = m( x - x₁)

=> y - (-5) = 3 { x - (-4) }

=> y +5 = 3( x + 4 )

=> y + 5 = 3x + 12

=> 3x - y + 12 - 5 = 0

=> 3x - y +7 = 0

Hence the equation of the line is 3x - y + 7 = 0 .