# What is the y intercept for a line with point (1.5, 9.5) slope 0.5?

Oct 10, 2015

The y-intercept is 8.75.

#### Explanation:

Let's assume this is a straight line. So we know that the line follows the equation:

$y = m x + b$
Where m is the slope and b is the y-intercept.

The problem give us:
$m = 0.5$
$x = 1.5$
$y = 9.5$

First, let's solve for b:
$b = y - m x$

Now, let's plug in numbers:
$b = y - m x$
$b = 9.5 - \left(0.5 \times 1.5\right)$
$b = 9.5 - 0.75$
$b = 8.75$

We can double-check by graphing the line:
graph{.5 x +8.75 [-14, 26, -2.24, 17.76]}

This does go through the point (1.5, 9.5).