Question

Help me with this problem!

Answer 1

Answer:

y = -(2/3)x + 3  

C

Step-by-step explanation:

The slope of the equation that was given is - 2/3

The slope in a slope intercept equation is the number in front of the x when the value of the number in front of the y = 1 and x and y are on opposite sides of the equal sign. Let's translate that.

The original equation is y = -(2/3)x + 5/3

• y and x have to be on opposite sides of the equal sign [They are]
• The slope is the number in front of the x. That's (-2/3).  That makes A incorrect.

Now you need to use the given point

The point is (-3 , 5) Put this into the equation that you have so far

y = (-2/3)x + b

y = 5

x = -3

5 = (-2/3)(-3/1) + b Substitute in the givens

5 = (-2 * -3)/3 + b Multiply -2 * - 3 = 6

5 = 6/3  + b          Divide the 6 by 3

5 = 2 + b               Divide

5 - 2 = b                Subtract 2 from both sides

3 = b                      Switch sides

b = 3

Answer y = (-2/3)x + 3 or C