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Mathematics
Jack Whalen 09 / 05 / 2312 : 1 quad09//05//2312:1
HW Score: 6.25 % , 1 6.25%,1 of 16
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Points: 0 of 1
Write the equation of the line passing through the point ( 5 , 5 ) (5,-5) with slope 4 5 -(4)/(5).
The equation of the line is
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The equation of a line in point-slope form is given by:
y y 1 = m ( x x 1 ) y-y_(1)=m(x-x_(1))
where ( x 1 , y 1 ) (x_(1),y_(1)) is a point on the line and m m is the slope of the line.
Substituting the given values, we have:
y ( 5 ) = 4 5 ( x 5 ) y-(-5)=-(4)/(5)(x-5)
Simplifying the right-hand side, we get:
y + 5 = 4 5 x + 4 5 ( 5 ) y+5=-(4)/(5)x+(4)/(5)(5)
y + 5 = 4 5 x + 4 y+5=-(4)/(5)x+4
Subtracting 5 from both sides, we have:
y = 4 5 x 1 y=-(4)/(5)x-1
Therefore, the equation of the line passing through the point ( 5 , 5 ) (5,-5) with slope 4 5 -(4)/(5) is:
y = 4 5 x 1 y=-(4)/(5)x-1
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