Write the point-slope form of the equation of the line through the given point with the given slope.
Through point (-2, 0) with slope = 2
Answer (3)
Steps:
Your point slope formula is Y-Y1=m(x-x1)
Y1=0 m=2 (slope) x1=-2
Do substitution
Your answer is Y-0=2(x +2) Ps: in case you are wondering why I put plus 2 instead of negative 2 is because you are supposed to do the opposite when subtracting a negative
t h e p o in t − s l o p e f or m u l a : y − y 1 = m ( x − x 1 ) =============================== ( − 2 ; 0 ) → x 1 = − 2 ; y 1 = 0 an d m = 2 t h ere f ore y − 0 = 2 ( x − ( − 2 )) y = 2 ( x + 2 ) y = 2 x + 4
The point-slope form of the equation of the line through the point (-2, 0) with a slope of 2 is y = 2 ( x + 2 ) . This form is based on the formula y − y 1 = m ( x − x 1 ) , where m is the slope and ( x 1 , y 1 ) is the point. The values are substituted to derive the equation accurately.
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