(y1-y2)/(x1-x2)=(10-6)/(8-0) OR (6-10)/(0-8)
= 0.5
In that case you now know. The answer to the first blank (coefficient of x)
To find the y intercept (the second blank), which I will call c, you can use either pair of the coordinates and substitute them in the equation together with the gradient you found previously.
If you choose to sub in (0,6) and since gradient=0.5,
Then: 6=0.5(0) + c
therefore, c=6
Likewise, if you choose to sub in (8,10)
Then: 10=0.5(8) + c
Therefore, c also equals to 6
So in conclusion the gradient of the slop is 0.5 and the y intercept is 6
The linear function will be: y=0.5x + 6