Question

Indicate in standard form the equation of the line passing through the given point and having the given slope D(5, -2) m = 2/5.

Answer 1

Standard form is:
a x + b y = c
and the slope - intercept form is:
y = m x + b
- 2 = 5 * 2/5 + b
- 2 = 2 + b
b = - 2 - 2
b = - 4
y = 2/5 x - 4 / * 5 ( we will multiply both sides of the equation by 5 )
5 y = 2 x - 20
- 2 x + 5 y = - 20 / * ( - 1 )
Answer:
2 x - 5 y = 20