Question

Write an equation in slope intercept form given two points: (3,1),(0,10)

Answer 1

y = - 3x + 10

Explanation:

We have to write an equation of a straight line in slope-intercept form that passes through the points (3,1) and (0,10).

Now, the equation of the straight line (using two points form) will be

`(y - 1)/( 1 - 10) = (x - 3)/(3 - 0)`

⇒ y - 1 = - 3(x - 3)

⇒ y - 1 = 9 - 3x

⇒ y = - 3x + 10 (Answer)

{Since the slope-intercept form of a straight line equation is y = mx + c}

We know the equation of a straight line when any two points on the straight line (
`x_(1),y_(1)`), (
`x_(2),y_(2)`) are known, will be

`(y - y_(1) )/(y_(1) - y_(2)) = (x - x_(1) )/(x_(1) - x_(2))`