Straight line Equation in point slope form:
y – y1 = m ( x – x1 )
In this case:
x1 = - 3 , y1 = - 5 , m = - 2 / 5
y – y1 = m ( x – x1 )
y – ( - 5 ) = ( - 2 / 5 ) [ x – ( - 3 ) ]
y + 5 = ( - 2 / 5 ) ( x + 3 )
Subtract 5 to both sides
y + 5 - 5 = ( - 2 / 5 ) ( x + 3 ) - 5
y = ( - 2 / 5 ) ( x + 3 ) - 5
y = ( - 2 / 5 ) ∙ x + ( - 2 / 5 ) ∙ 3 - 5
y = ( - 2 / 5 ) ∙ x - 6 / 5 - 5
y = ( - 2 / 5 ) ∙ x - 6 / 5 - 25 / 5
y = ( - 2 / 5 ) x - 31 / 5
Write an equation in point-slope form for the line through the given point with the given slope. (-3,-5); m=-2/5
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