Question

Given the equation of a line is

Answer 1

Answer:

the slope of the line is $\frac{5}{4}$, 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):

$5\,x-4\,y= 24\\5\,x-24=4\,y\\y=\frac{5}{4} \,x-\frac{24}{4} \\y=\frac{5}{4} \,x-6$

Therefore the slope of the line is $\frac{5}{4}$, and the y-intercept occurs at y = -6  (0, -6) on the plane