Answer:
[tex]y < \frac{3}{4} x + 0[/tex]
Step-by-step explanation:
An inequality or equation for a graph is written in Y=MX +B form.
y and x are untouched while you need to do math to find M and B
M is the slope:
Slope is
[tex] \frac{rise}{run} [/tex]
how much you rise from one point to the next and how much you run from one point to the next. this graph gives us 2 points. (0,0) and (4,3)
to go from the first coordinate to the next you need to go up by 3 and over by 4 so 3over4.
This gives us
[tex]y<\frac{3}{4} x + b[/tex]
We still have to find B.
B is the y intercept. What Y position does the graph cross the Y Axis.
in this case it is at 0
so we put a zero for b.
last step: In our inequality we don't know if y is greater than or less than our equation.
The shading is under the line so Y is less than.
If it's over Than Y is more than...
Also we know that Y is less than some thing but not equal to it because the inequality is drawn as a dotted line not a solid straight one.
in this case Y is less than 3/4X + 0
Aka
[tex]y < \frac{3}{4} x + 0[/tex]
