Answer:
x intercept (-10,0)
y intercept (0,-(5/4))
Explanation:
The x and y intercepts are the following points:
x intercept (x,0)
y intercept (0,y)
In other words, we want the value of x or y when their other coordinate (y or x) is equal to zero.
Let's assume the correct equation is
2x + 16y=– 20 [not "2x 16y=– 20"]
Rearrange to standard slope-intercept format:
2x + 16y=– 20
16y= -2x – 20
y= -(2/16)x – (20/16)
y = -(1/8)x - (5/4)
Now find the values the intercepts:
x intercept (x,0)
y = -(1/8)x - (5/4)
0 = -(1/8)x - (5/4)
(1/8)x = - (5/4)
x = -(5/4)*8
x = -40/4 or -10
y intercept (0,y)
y = -(1/8)x - (5/4)
y = -(1/8)*0 - (5/4)
y = -(5/4)
x intercept (-10,0)
y intercept (0,-(5/4))
See the attached graph.