Question

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

Answer 1

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.

Answer 2

The equation of the line is:

`y=(3)/(5)x-(26)/(5)`

Explanation:

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)=(3)/(5)* (x-2)\\\\i.e.\\\\y+4=(3)/(5)* (x-2)\\\\i.e.\\\\y=(3)/(5)x-(6)/(5)-4\\\\i.e.\\\\y=(3)/(5)x-(26)/(5)`