Question

Consider the line L given by the point-slope equation y+7= 1/2(x−18).

The y-intercept of the line is located at (0, b)

What is the value of b?

Answer 1

Answer:

b = -16

Step-by-step explanation:

To find the $y$-intercept, rewrite the equation in the form $y=mx+c$ (where $m$ is the slope and $c$ is the $y$-intercept).

$y + 7 = \frac{1}{2}(x - 18)$

multiply out the brackets:  $y + 7 = \frac{1}{2} x - 9$

Subtract 7 from each side:  $y = \frac{1}{2} x - 16$

Therefore, when x = 0,  y = -16

So the value of b is -16

Answer 2

Answer:

• - 16

Step-by-step explanation:

The y-intercept is the coordinate of y when x = 0.

Find the value of y:

• y + 7 = 1/2(0 - 18)
• y + 7 = 1/2( - 18)
• y + 7 = - 9
• y = - 9 - 7
• y = - 16