Answer:
the slope of the line is [tex]\frac{5}{4}[/tex], and the y-intercept occurs at y = -6 (0, -6) on the plane
Step-by-step explanation:
In order to find the slope and y-intercept, we need to solve for y in the equation, and look at the coefficient accompanying the term in "x" (the slope), and at the pure numerical term (y-intercept):
[tex]5\,x-4\,y= 24\\5\,x-24=4\,y\\y=\frac{5}{4} \,x-\frac{24}{4} \\y=\frac{5}{4} \,x-6[/tex]
Therefore the slope of the line is [tex]\frac{5}{4}[/tex], and the y-intercept occurs at y = -6 (0, -6) on the plane
