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HELP ASAP. PLEASE EXPLAIN HOW.

HELP ASAP PLEASE EXPLAIN HOW class=

Sagot :

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!