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Write the equation for the line that passes through the points (2, -2) and (-9, 9) put your answer in fully reduced form unless it is a vertical or horizontal line
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step-by-step explanation:
we are given a graph for system of inequalities.
in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.
let us find the slope of dotted line first.
taking two coordinates on the graph.
let us say (0,0) and (3,1).
let us find the slope of the line now.
slope of the dotted line would be =.
y-intercept of dotted line is y=0 only.
plugging slope m= and b=0 in slope-intercept form y=mx+b, we get
.
the line is shaded up of that dotted line.
therefore, for shading up we would take greater than inequality symbol > .
and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.
therefore, inequality for dotted line would be
let us take two points (3,1) and (0,4) on the solid line.
slope of the solid line would be =.
for the solid line we have y-intercept b= 4.
plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get
y = -1x + 4.
the line is shaded down of that solid line.
therefore, for shading down we would take less than inequality symbol < .
and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.
therefore, inequality for solid line would be
y≤ -x +4 .![Write a system of inequalities to represent the shaded portion of the graph.](/tpl/images/02/02/DwLmkmmWupWAIakv.jpg)
![ansver](/tpl/images/cats/User.png)
step-by-step explanation:
to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.
![ansver](/tpl/images/cats/User.png)
h/o/e/s mad
step-by-step explanation:
si si si
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