Example 4:
Let y = ax + b
Where, a = 4
Then,
y = 4x + b
As we have one point = (-2,3)
Replace in the equation:
3 = 4(-2) + b
3 = -8 + b
b = 3 +8
b = 11
So us stay:
y = 4x + 11
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Now let's to the 5 example:
Let y = ax + b
Where a = 3/2
Then,
y = 3x/2 + b
As the point is = (4, 7)
Then we will stay:
7 = 3(4)/2 + b
7 = 6 + b
b = 7 - 6
b = 1
Then we will stay:
y = 3x/2 + 1
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Now let's to the last example:
Let y = ax + b
Where , a = -4/3
Then we going to stay with:
y = -4x/3 + b
As the point is = (6 , -2)
Then,
-2 = -4(6)/3 + b
-2 = -8 + b
b = -2 + 8
b = 6
So follow:
y = -4x/3 + 6
I hope this helped!