Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)

3y = -2x -7

Step-by-step explanation:

The equation of the line;

     y = x + 8

Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

    the equation of a line is given as;

        y = mx + c

where x and y are the coordinate

           m is the slope

          c is the intercept

To solve this problem,

  The slope   if the same as that of the new line since they are parallel;

Equation of the new line;

    x  = 4 and y = -5

     -5 =   x 4 + c

      -5 = + c

       c  = -5 +

       c =

So, the equation of the line is;

    y =  x -

 or ;

     3y = -2x -7

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.