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)

$y\text{ + 4 = }\frac{3}{5}x\text{ - }\frac{6}{5}$

$y\text{ = }\frac{3}{5}x-\frac{6}{5}-4=\frac{3}{5}x-\frac{6-20}{5}=\frac{3}{5}x-\frac{26}{5}$

The answer is:

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