Question

Plz help!

Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.


Point (5,−2); Slope=5

Answer 1

5x - y = 27

Explanation:

Slope is the direction of line and it is calculated as,

`Slope = (y-y_(1))/(x-x_(1))`

where (x₁, y₁) is any two points on the line.

Here, we have given that

Slope = 5 and (x₁, y₁) = (5, -2)

∴
`5 = (y-(-2))/(x-5)`

⇒ 5(x - 5) = y + 2

⇒ 5x - 25 = y + 2

⇒ 5x - y = 27

Hence, the equation of a line is: 5x - y = 27