Question

Given the equation of a line is

5x - 4y = 24
What is the slope of the line?
What is the y-intercept?

Answer 1

the slope of the line is
`(5)/(4)`, and the y-intercept occurs at y = -6 (0, -6) on the plane

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=(5)/(4) \,x-(24)/(4) \\y=(5)/(4) \,x-6`

Therefore the slope of the line is
`(5)/(4)`, and the y-intercept occurs at y = -6 (0, -6) on the plane