Answer:
y= ⅔x -2
Step-by-step explanation:
<u>slope-intercept </u><u>form</u>
y= mx +b, where m is the slope and b is the y-intercept.
Two given coordinates: (-3, -4) and (6, 2)
Slope
Substitute m= ⅔ into the equation:
y= ⅔x +b
From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).
Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.
When x= 6, y= 2,
2= 4 +b
b= 2 -4
b= -2
Thus the equation of the line is y= ⅔x -2.