Answer:
y is less than or equal to negative three fourths times x plus 2
Step-by-step explanation:
step 1
Find the equation of the solid line
we have the coordinates (0,2) and (4,-1)
Find the slope m
The formula to calculate the slope between two points is equal to
substitute
<em>Find the equation of the line in slope intercept form</em>
where
m is the slope
b is the y-intercept (value of y when the value of x is equal to zero)
we have
---> is given
substitute
Remember that
The shading area is below the line
therefore
The inequality is
y is less than or equal to negative three fourths times x plus 2