Question

Write the equation, in standard form, of the line passing through (0,-8) with a slope of -1/2

Answer 1

The answer is

`\huge \boxed{y = - (1)/(2) x - 8 }`

Explanation:

To find an equation of a line given the slope and a point we use the formula

`y - y_1 = m(x - x_1)`

where

m is the slope

( x1 , y1) is the point

From the question the point is (0,-8) and slope - 1/2

We have

`y + 8 = - (1)/(2) (x - 0) \\ y + 8 = - (1)/(2) x \\ y = - (1)/(2)x - 8`

We have the final answer as

`y = - (1)/(2) x - 8 \\`

Hope this helps you