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Write the linear inequalities that this graph represent in slope - intercept form

Write the linear inequalities that this graph represent in slope - intercept form-example-1
User Roxy
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1 Answer

26 votes
26 votes

Solution

For the solid line we can select two points:

(0,2) and (1,0)

We can calculate the slope and we have:


m=(0-2)/(1-0)=-2

Then we can find the intercept and we got:

0= -2*1+ b

b =2

Then the equation is:

y= -2x +2

For the dashed line we can select (0,1) and (1,2) then the slope is:


m=(2-1)/(1-0)=1

The intercept is:

2= 1*1 +b

b=1

Then the equation is:

y= x +1

User Petrba
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2.7k points