Question

Please please help with question 18

Answer 1

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The Correct choice is :

• $y = \dfrac{3}{5} x + 2$

Explanation :

As per given in the question, both the lines are parallel so they have equal slopes. that is slope of required line is :

• $\dfrac{3}{5}$

now, let's use slope and the coordinates of the given points to find the equation of line in point - slope form :

• $y - y1 = m(x - x1)$

• $(y - ( - 1)) = \dfrac{3}{5} (x - ( - 5))$

• $y + 1 = \dfrac{3}{5} (x + 5)$

• $5(y + 1) = 3(x + 5)$

• $5y + 5 = 3x + 15$

• $5y = 3x + 15 - 5$

• $5y = 3x + 10$

• $y = \dfrac{3x + 10}{5}$

• $y = \dfrac{3}{5} x + 2$

therefore , the correct choice is A