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A line passes through the points (8,5) and (4,4). What is its equation im slope-intercept from?

User Steppefox
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1 Answer

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Given the points ( 8 , 5 ) and ( 4 , 4 )

The general slop-intercept form of the equation of the line is:

y = mx + c

where m is the slope and c is y-intercept

The slope will be calculated as following:


\text{slope}=m=(y2-y1)/(x2-x1)=(5-4)/(8-4)=(1)/(4)

So, the equation of the line will be:


y=(1)/(4)x+c

Using the one of the given points to find the value of c

Let , we will use the point ( 4 , 4 )

so, when x = 4 , y = 4


\begin{gathered} 4=(1)/(4)\cdot4+c \\ 4=1+c \\ c=4-1=3 \end{gathered}

So, the slope - intercept equation of the line is:


y=(1)/(4)x+3

User Olmo
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