Question 503726
y = mx+b is in slope-intercept form
b = y-intercept
m = slope
.
8x +7y = -5
7y = -8x -5
y = -8/7x - 5/7
.
m = -8/7 = slope
.
the y-intercept occurs where x=0
y = -8/7(0) -5/7
y = -5/7 
y-intercept = (0,-5/7)
.
the x-intercept occurs where y=0
substitute and solve
0 = -8/7(x) -5/7
8/7x = -5/7
56 = -35x
x = -35/56
x = -7*5/7*8
x = -5/8
x-intercept = (-5/8,0)
.
{{{graph(500,500,-2,2,-2,2,-8/7*x-5/7)}}}