Change the equation to a slope-intercept form:
8x-11y=5
Just solve the equation for y and end up with the form:
y = mx + b
8x - 11y = 5
-11y = -8x + 5
divide through every term by -11
= +
y = x -
Now compare that to
y = mx + b
and you see that the slope m =
and the y-intercept is the point (0,b) or, (0,)
Edwin