Question

How do you write an equation of a line with slope -5/6 and y-intercept 5?

Answer 1

The line is represented by the equation
`y = -5/6x +5`

Explanation:

The general form of the equation for a line is
`y = mx + c` (equation 1)

where `m` is the slope or gradient of the line and `c` is a constant
and represents the y-intercept

therefore for this equation
`y = mx + 5` (equation 2)

The slope of line is `-5/6` so substituting in these values
`6 = x*-5/6 + 5` (equation 3)

or `y = -5/6x +5`

graph{-5/6x +5 [-6.75, 13.25, -2.72, 7.28]}