Answer:
The equation would be y = -1/5x + 5
Step-by-step explanation:
To find the equation of this new line, we first need to identify the slope of the first line. We do this by putting it into slope intercept form.
x + 5y = 10
5y = -x + 10
y = -1/5x + 2
In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation -1/5. Since parallel lines have the same slope, our new slope will also be -1/5.
Given that and the point, we can solve for the equation using point-slope form.
y - y1 = m(x - x1)
y - 6 = -1/5(x + 5)
y - 6 = -1/5x - 1
y = -1/5x + 5
