Question 635073
Given
Point (x, y)=(4,-8) 
Slope = m = 8/9

Equation of the line slope-intercept form
y=mx+b 
Put the given values of point and slope in above equation in order to know the y-intercept
-8=(8/9)(4)+b
-8=32/9+b
-8-32/9=b
(-72-32)/9=b
b=-104/9


y-intecept = b = -104/9

Again put the values of slope and y-intercept in the equation of the line slope-intercept form
y=8/9(x)+(-104/9)
y=8x/9-104/9
Above equation is required equation of the line.


Graph
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{{{ graph(500,500,-20,20,-20,20,8x/9-104/9) }}}