The equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4 is y = -3 / 5 x + 13 / 5
<h3>How to find the equation of a line?</h3>
The equation of a line can be represented as follows:
y = mx + b
where
Therefore, the equation passes through (-4, 5) and perpendicular to 5x - 3y = 4
Hence,
perpendicular lines follows the rule below:
m₁m₂ = -1
Hence,
5x - 3y = 4
5x - 4 = 3y
y = 5/ 3 x - 4 / 3
m₁ = 5 / 3
5/3 m₂ = -1
m₂ = - 3 / 5
Hence,
using (-4, 5)
5 = - 3 / 5 (-4) + b
5 = 12 / 5 + b
b = 5 - 12 / 5 = 25 - 12 /5 = 13 / 5
Therefore,
y = -3 / 5 x + 13 / 5
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As the input goes up by 3, the output goes down by 1.
<u><em>Answer: B. m=-23 and -23=m. *The answer should be the negative sign.*</em></u>
Step-by-step explanation:
addition property of equality is adding the same number to both sides of an equation does not change the equation.
a+c=b+c
add by 10 both sides of equation.
m-10+10=-33+10
simplify.
33-10=23
23+10=33
33-23=10
m=-23
It changes positive to negative.
Hope this helps!
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