6. Systems of Linear Inequalities
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Can we identify the slope and y-intercept of each graph? Write each inequality separately.
{y<-23x+3x<1
There are two major steps to writing an inequality when given its graph.
In this exercise we have been given a system consisting of two linear inequalities. We will tackle them one at a time and bring them together in a system at the end.
It only takes two points to create a unique equation for any line, so let's start by identifying two points on the boundary line.
riseand
runof the graph, which will give us the slope m.