Question

Write an equation of the form y = mx for the line shown below. If appropriate,

use the decimal form for the slope.

Answer 1

y = - 0.5x

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m =
`(-1-2)/(2-(-4))` =
`(-3)/(2+4)` =
`(-3)/(6)` = - 0.5

The line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - 0.5x + 0 . that is

y = - 0.5x