Answer:
b=12
Step-by-step explanation:
Hi there!
We are given the linear equation y-6=-3/2(x-4), and we want to find the value of the y intercept, which is typically denoted as b
The y intercept is the point in which the line crosses the y axis, and so, the value of x at that point is 0
Therefore, we can substitute the value of x as 0 in this equation, and then solve for y
That would translate to:
y-6=-3/2(0-4)
Now solve via the order of operations. Starting with the parenthesis:
y-6=-3/2(-4)
Now multiply -4 by -3/2
y-6=6
Now add 6 to both sides
y=12
The value of y is 12, which is the point at which the line crosses the y axis; as a point, the value is (0, 12)
As stated above, the value of the y intercept is typically denoted as b, which is also the value of y. Therefore, b=12 is the location of the y intercept
Hope this helps!
