Question

What is the point-slope form given the following slope and a point on the line? m = 3/7 , (7, -4)

Answer 1

The equation is y = (3/7)x - 7.

Explanation:

Given that the point slope form of an equation is y = mx + b where m represents the gradient and b is the y-intercept. Then, you have to substitute the following values into the equation :

`y = mx + b`

`let \: m = (3)/(7) ,x = 7,y = - 4`

`- 4 = (3)/(7) (7) + b`

`- 4 = 3 + b`

`- 4 - 3 = b`

`b = - 7`