Find the equation of the line (in slope-intercept form) parallel to $8 x-y=6$ that sses through the point $(0,4)$.

Step 1 ：Convert the given equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. The equation is \(8x - y = 6\), so the slope-intercept form is \(y = 8x - 6\).

Step 2 ：The slope of a line parallel to this line would be the same. So, the slope of the line we are looking for is 8.

Step 3 ：Use the point-slope form of a line (y - y1 = m(x - x1)) to find the equation of the line that passes through the given point (0,4) and has the same slope. Substituting the values, we get \(y - 4 = 8x\).

Step 4 ：Solving for y, we get the final equation of the line: \(y = 8x + 4\).