Question

Find an equation of the line with x-intercept 8 and y-intercept 4

Answer 1

Explanation:

eq. of line with intercepts a and b is

`(x)/(a) +(y)/(b) =1\\here ~eq. ~of ~line~ is ~ (x)/(8) +(y)/(4) =1\\or x+2y=8\\`

Answer 2

y = -1/2x + 4

Explanation:

We have two points ( 8,0) and ( 0,4)

We can find the slope

m =(y2-y1)/(x2-x1)

= (4-0)/(0-8)

4/-8

-1/2

We can use the slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/2x + 4