Ineed on 10 and 12. we need to put them into slope intercept form but in confused on how to do that

10) y = -3x - 7

Step-by-step explanation:

You need to use the Point-Slope formula: y - y₁ = m(x - x₁)  ; where (x₁, y₁) is the point and "m" is the slope.

You are given the point (-1, -4). Now you need to find the slope.

You are given the 9x + 3y = 8.  Rewrite this in slope-intercept form by solving for y so it is in the form y = mx + b.

9x + 3y = 8

-9x           -9x

       3y = -9x + 8

      ÷3    ÷3        

        y  =  -3x + 8/3

                 ↓

         m = -3

Parallel lines have the same slope so m = -3

Next, plug in the point (-1, -4) and the slope (-3) into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - (-4) = -3(x - (-1))

y + 4 = -3(x + 1)

y + 4 = -3x - 3

   -4           -4  

y       = -3x - 7

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12)

Step-by-step explanation:

follow the same steps as #10

Point (3, 1) m = ??

2x + 5y = 7

-2x           -2x

        5y = -2x + 7

      ÷5    ÷5                

          y =

                   ↓

          m =

Parallel lines have the same slope so m =

Next, plug in the point (3, 1) and the slope into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 1 = (x - 3)

y - 1 = +

   +1           +  

y       =

Step-by-step explanation:

It is given that the parking lot measures 120 ft by 200 ft. The owner wants to expand the size of parking lot by adding equal distance to two sides.

Let's assume that he added 'x' ft on both the sides, then the area after the addition must be less than 35000 square feet. So we have,

Solving for 'x' we get,

Now we can use quadratic formula to find the roots of the equation, we can use,

In our equation, b= 320, a = 1 and c = -11000, putting the values we get,

Here we have ignored the negative root of 'x' because length cannot be negative.

Therefore, the range of distance that be added should be less than 31.3 ft.