Question

The equation of a line with slope m= - 1/4 and including point (-3, 5) is y= - 1/4 x - 4.

True
False

Answer 1

False

Explanation:

the equation of a line in slope- intercept form is

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

here m = -
`(1)/(4)`, hence

y = -
`(1)/(4)` x + c ← is the partial equation

to find c substitute (- 3, 5) into the partial equation

5 =
`(3)/(4)` + c ⇒ c =
`(17)/(4)`

y = -
`(1)/(4)` x +
`(17)/(4)` ← equation of line