Question

Write an equation of the line that passes through the point (12.2) and has a slape of -1/4

Answer 1

y = -
`(1)/(4)` x + 5

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 (12, 2) into the partial equation

2 = - 3 + c ⇒ c = 2 + 3 = 5

y = -
`(1)/(4)` x + 5 ← equation of line

Answer 2

y=-1/4x+5

my work:

y=mx+b

2=-1/4(12)+b

2=-3+b

+3 +3

5=b

y=-1/4x+5