Answer:
x - y = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + y = - 5 ( subtract x from both sides )
y = - x - 5 ← in slope- intercept form
with slope m = - 1
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1 , thus
y = x + c ← is the partial equation
To find c substitute (7, 3) into the partial equation
3 = 7 + c ⇒ c = 3 - 7 = - 4
y = x - 4 ← equation in slope- intercept form
subtract y from both sides
0 = x - y - 4 ( add 4 to both sides )
4 = x - y , that is
x - y = 4 ← equation in standard form
