Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
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Step-by-step explanation:
Given: J (-4,-5) and K(-6,3)
=> x=-4 and y=-5 =>x=-6 and y=3
Solution: now put the value of x and y 8n the same equation ,i.e, y=mx+b
Now for point J the equation will be :
-5= -4m+b or -4m+b=-5 --------------(1)
And for point K the equation will be :
3=-6m+b or -6m+b=3------------------(2)
Now solve equation (1) and (2) by elimination method:
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