Answer:
Slope is -1/3 and y-intercept is 23/3
Step-by-step explanation:
Parallel lines share the same exact slope. This means that the line parallel to the equation y= -1/3x + 5 will have the same slope as it. Its slope is -1/3.
To find the y-intercept of the parallel line, substitute the slope -1/3 and the point (8,5) into the point slope form [tex]y-y_1 = m(x-x_1)[/tex].
[tex]y-y_1 =m(x-x_1)\\y-5=-\frac{1}{3}(x-8)\\y-5=-\frac{1}{3}x + \frac{8}{3}\\y=-\frac{1}{3}x +\frac{23}{3}[/tex]
The y-intercept is 23/3.
