Question

Write the following in point-slope form using the given information: Slope: 2 points

1/15; Point: (3,-5)

Answer 1

`y+5 = (1)/(15)(x - 3)}`

Explanation:

Given

`m = (1)/(15)` -- Slope

`(x_1,y_1) = (3,-5)` --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

`y - y_1 = m(x - x_1)`

Substitute values for y1, x1 and m

`y-(-5) = (1)/(15)(x - 3)}`

`y+5 = (1)/(15)(x - 3)}`

Hence, the equation in point slope form is:

`y+5 = (1)/(15)(x - 3)}`

Solving further to represent the equation in slope-intercept form, we have:

`y+5 = (1)/(15)(x - 3)}`

`y+5 = (1)/(15)x - (1)/(15)*3`

`y+5 = (1)/(15)x - (1)/(5)`

Make y the subject

`y= (1)/(15)x - (1)/(5)-5`

`y= (1)/(15)x - ((1)/(5)+5)`

`y= (1)/(15)x - ((1+25)/(5))`

`y= (1)/(15)x - ((26)/(5))`

`y= (1)/(15)x - (26)/(5)`