Answer:
y = 4/3x+2/3
Step-by-step explanation:
Pick two points on the line to find the slope
(-5,-6) and (4,6)
m = (y2-y1)/(x2-x1)
m = ( 6 - -6)/( 4 - -5)
= ( 6+6)/(4+5)
= 12/9
= 4/3
The slope intercept form of a line is y =mx+b where m is the slope and b is the y intercept
y = 4/3x+b
Substitute a point into the equation
6 = 4/3(4)+b
6 = 16/3+b
Subtract 16/3 from each side
18/3 - 16/3 =b
2/3 = b
y = 4/3x+2/3
