What is the slope of the line represented by 5x-12y= 24?

Question

Don’t understand how to solve this equation.

Answer 1

The equation of any line is y = M*x + B

 

where M is the slope and B is the intercept

 

 

 

5x - 12y = 24

 

5x = 24 + 12y <--- adds 12y to both sides

 

5x - 24 = 12y  <--- subtracts 24 form both sides

 

(5x - 24)/12 = y  <--- divides both sides by 12

 

(5/12)X - 24/12 = y   <--- splits the left side into two fractions

 

(5/12)X - 2 = y  <--- reduces the fraction

 

(5/12)X + -2 = y <--- definition of subtraction; subtracting is the same as adding the opposite

 

Now compare that to y = M * x + B

 

    y  =   M    * x  +   B

    y  = 5/12 * x    +  -2

 

  the slope is M= 5/12  and the intercept is B=-2

 

  Intercept is B=-2, so the line crosses the y-axis 2 squares below the x-axis,

  so graph (0,-2) on your graph paper.

 

  From there, go up 5 and 12 to the right. That will be at (12,3)