Answer:
2x - y = - 5
Step-by-step explanation:
First obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (1, 7) into the partial equation
7 = 2 + c ⇒ c = 7 - 2 = 5
y = 2x + 5 ← in slope- intercept form
The equation in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Subtract y from both sides
0 = 2x - y + 5 ( subtract 5 from both sides )
- 5 = 2x - y, that is
2x - y = - 5 ← in standard form
