Question

Find the slope-intercept form of the equation of the line through the point (0, -4) and (1, 0).

Answer 1

The Slope Intercept form of the equation through the point (0, -4) and

(1, 0) is y = 4 x - 1

Explanation:

Here, the given points are A (0,-4) and B(1,0)

Now, slope of the equation with points (a,b) and (c,d) is given as

`m = (d - b)/(c -a)`

So, here the slope of the line AB is given as:

`m = (0 - (-4))/(1-0) = (4)/(1)  = 4`

⇒ m = 4

Now, by POINT SLOPE form:

The equation with slope m and point (x0 , y0) is represented as :

(y-y0) = m (x-x0)

⇒ The equation of AB is of the form with point (1,0) is

y - 0 = 4 (x -1)

or, y = 4 x - 1

Also, the SLOPE INTERCEPT form of an equation is of the form

y = m x + C ; m = slope and C = y -intercept

Hence, the slope intercept form of the equation through the point (0, -4) and (1, 0) is y = 4 x - 1