Answer:
y = 2x - 5
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 )
Rearrange y - 2x = 3 into this form by adding 2x to both sides
y = 2x + 3 ← in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To find c substitute (3, 1) into the partial equation
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 2x - 5 ← equation of line
