Answer:
[tex]y = 4x - 47[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Parallel lines:
When two lines are parallel, they have the same slope.
8x-2y=7
Placing into the format, we have thtt:
[tex]2y = 8x - 7[/tex]
[tex]y = 4x - \frac{7}{2}[/tex]
Slope of 4.
This means that the desired line has the following equation:
[tex]y = 4x + b[/tex]
Point of (12,1)
This means that when [tex]x = 12, y = 1[/tex]
We use this to find b.
[tex]y = 4x + b[/tex]
[tex]1 = 48 + b[/tex]
[tex]b = -47[/tex]
So, the line has the equation:
[tex]y = 4x - 47[/tex]
