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3 years ago

Indicate the equation of the line through (2, -4) and having slope of 3/5.

Mathematics

2 answers:

andrew11 [14]3 years ago

8 0

<h2>Answer:</h2>

The equation of the line is:

$y=\dfrac{3}{5}x-\dfrac{26}{5}$

<h2>Step-by-step explanation:</h2>

We are asked to find the equation of a line that pass through (2,-4) and having a slope of 3/5.

We know that the equation of a line with slope m and passing through points (a,b) is:

$y-b=m(x-a)$

Here (a,b)=(2,-4) and m=3/5

Hence, the equation of line is:

$y-(-4)=\dfrac{3}{5}\times (x-2)\\\\i.e.\\\\y+4=\dfrac{3}{5}\times (x-2)\\\\i.e.\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}-4\\\\i.e.\\\\y=\dfrac{3}{5}x-\dfrac{26}{5}$

Kamila [148]3 years ago

4 0

Y = mx + b

y = 3/5(x) + b

-4 = 3/5(2) + b

-4 = -2.4 + b

b = -4 + 2.4

b = -1.6 (-8/5)

y = 3/5x - 8/5.

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