Answer:
[tex]y = 2x - 6[/tex]
Step-by-step explanation:
Parallel lines have EQUAL SLOPES.
The equation of a line is given as:
y = mx + b
Where
m is the slope, and
b is the y intercept (y-axis cutting point)
Since, y = 2x + 5 has a slope of 2, the line parallel will also have slope of 2.
So that line will have equation of:
y = 2x + b
To find b, we need a point that this line passes through. It is given
(3,0)
Where
x = 3
y = 0
We substitute and find b:
y = 2x + b
0 = 2(3) + b
0 = 6 + b
b = -6
So, the equation of the line is:
y = 2x - 6
