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A line on a coordinate plane passes through the point (4,6) and has a slope of -1.5.
When the line passes through x = -2, what is the value of y?

Respuesta :

Cytokine

First, let's express our line in slope-intercept form.

y = -1.5x + b

We still have to find b. Let's plug (4, 6) into our equation above to find b.

6 = -1.5(4) + b

6 = -6 + b

Add 6 to both sides.

12 = b.

Now our line looks like: y = -1.5x + 12

Plug -2 into our line for x.

y = -1.5(-2) + 12

y = 3 + 12

y = 15

When the line passes through x = -2, the value of y = 15

facundo3141592

In the given linear equation, when we evaluate in x = -2 we get y = 15.

What is the value of y?

The general line equation is:

y = a*x + b

Where a is the slope.

In this case, we know that the slope is -1.5, then we can write:

y = -1.5*x + b

We also know that the line passes through (4, 6), this means that:

6 = -1.5*4 + b

Whit this, we can find the value of b.

6 = -6 + b

6 + 6 = b = 12

Then the line equation is:

y = -1.5*x + 12

Now we want to find the value of y when x = -2, to find that, we just replace x by -2.

y = -1.5*(-2) + 12 = 3 + 12 = 15

When x = -2, y = 15.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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