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Write the point-slope form of the equation of the line through the given points ( − 4, 1) and (4, 4)

User Kolobos
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The slope-point form:


y=mx+b

The formula of a slope:


m=(y_2-y_1)/(x_2-x_1)

We have the points (-4, 1) and (4, 4). Substitute:


m=d(4-1)/(4-(-4))=(3)/(8)

Therefore we have the equation of a line


y=(3)/(8)x+b

Put the coordinates of the point (4, 4) to the euation of a line:


4=(3)/(8)(4)+b


4=(3)/(2)+b


4=1.5+b subtract 1.5 from both sides


2.5=b\to b=2.5\to b=(5)/(2)

Answer:
\boxed{y=(3)/(8)x+(5)/(2)}

User Shile
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