Answer:
x - 2y = 4
Step-by-step explanation:
The equation of a line in standard form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0 ) ← coordinates of intercepts
m = [tex]\frac{0+2}{4-0}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex],
Note the y- intercept c = - 2, thus
y = [tex]\frac{1}{2}[/tex] x - 2 ← in slope- intercept form
Multiply through by 2
2y = x - 4 ( subtract 2y from both sides )
0 = x - 2y - 4 ( add 4 to both sides )
4 = x - 2y, that is
x - 2y = 4 ← in standard form
