Question

Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?

Answer 1

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: $-4\frac{1}{2}$. Substitute $-4\frac{1}{2}$ for x and 10 for y in the equation, then solve:  

$y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10$

10 does equal 10, so this is a true statement. Option C is the right answer.