Question

Write an inequality, in slope-intercept form, for the graph below. If necessary,use "<=" for or">=" for >.(0,4)(2,0)-5

Answer 1

Find the equation of the dotted line:

`y=mx+b`

1. Find the slope:

`m=(y_2-y_1)/(x_2-x_1)`
`m=(0-4)/(2-0)=-(4)/(2)=-2`

2. Find the y-intercept (b): the value of y when the line cross y-axis:

b=4

Then, the eqution of the line is: y=-2x+4

To write the inequality:

When the line is a dotted line you use > or <, whne it is a full line you use ≥ or ≤

When the sahdow area is under the line use < or ≤, when the shadow area is over the line you use > or ≥

Then, as you have a dotted line and the shadow area in under that line, you get the next inequality:

`y<-2x+4`