Question

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

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

point ( 2 , -4)

slope = 3/5

equation of the line = ?

Step 02:

Point-slope form of the line

(y - y1) = m (x - x1)

(y - (-4)) = 3/5 (x - 2)

`y\text{ + 4 = }(3)/(5)x\text{ - }(6)/(5)`

`y\text{ = }(3)/(5)x-(6)/(5)-4=(3)/(5)x-(6-20)/(5)=(3)/(5)x-(26)/(5)`

The answer is:

y = 3/5 x - 26/5 = 0.6x - 7.2