Answer:
Hello!
First you will want to get both of equations into slope-intercept form. That way, you can easily determine the y-intercept of the first equation and the slope of the second equation.
When 2 lines have the same slope, that means they will be parallel.
y+4x-10=0 ; add 10 to each side
y+4x=10 ; subtract 4x from each side
y = -4x + 10 ; y-intercept = 10
1x + 7y = 6 ; subtract 1x from each side
7y = -1x + 6 ; divide both sides by 7
y = -1/7 x + 6/7 ; slope = -1/7
So, a line with the same y-intercept as the first, and same slope (parallel) as the second would have the equation:
y = -1/7x + 10
Explanation: