Question

The equation y - 7/2 = 1/2(x-4) is written in point-slope form. What is the y-intercept of the equation?

Ο -11/2

Ο -1/2

Ο 1/2

Ο 3/2

Answer 1

Answer:

$y - \frac{7}{2}= \frac{1}{2} (x-4)$

$y-\frac{7}{2}= \frac{1}{2}x - 2$

$y = \frac{1}{2}x -2 + \frac{7}{2}$

$y = \frac{1}{2}x + \frac{3}{2}$

$y = mx +b$

Is given by:

Ο 3/2

Step-by-step explanation:

For this case we have the following function given:

$y - \frac{7}{2}= \frac{1}{2} (x-4)$

If we distribute the 1/2 in the right we got:

$y-\frac{7}{2}= \frac{1}{2}x - 2$

Now we can add on both sides 7/2 and we got:

$y = \frac{1}{2}x -2 + \frac{7}{2}$

And simplifying we got:

$y = \frac{1}{2}x + \frac{3}{2}$

And the answer for this case using the general formula:

$y = mx +b$

Is given by:

Ο 3/2