Question

Write the slope-intercept form of the given line. Include your work in your final answer.

Answer 1

`y=-(1)/(3)x+1`

Explanation:

Let the equation of the line is,

y = mx + b

Where 'm' = slope of the line

b = y-intercept

From the picture attached,

b = 1

Slope of the line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is represented by,

m =
`(y_2-y_1)/(x_2-x_1)`

Slope of the line passing through the points (0, 1) and (3, 0) will be,

m =
`(0-1)/(3-0)` =
`-(1)/(3)`

Equation of the line will be,

`y=-(1)/(3)x+1`