Question

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

Answer 1

Answer:

y = - 3x + 10

Step-by-step 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  

$\frac{y - 1}{ 1 - 10} = \frac{x - 3}{3 - 0}$

⇒ 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  

$\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}$