Question

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

Answer 1

Answer:

3y = -2x -7

Step-by-step explanation:

The equation of the line;

     y = $-\frac{2}{3}$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  $-\frac{2}{3}$ if the same as that of the new line since they are parallel;

Equation of the new line;

    x  = 4 and y = -5

     -5 =  $-\frac{2}{3}$ x 4 + c

      -5 = $-\frac{8}{3}$ + c

       c  = -5 + $\frac{8}{3}$

       c = $-\frac{7}{3}$

So, the equation of the line is;

    y =  $-\frac{2}{3}$x - $\frac{7}{3}$

 or ;

     3y = -2x -7