Question

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

Answer 1

Answer:

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

(1, 0)  is  y = 4 x - 1

Step-by-step 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

$m = \frac{d - b}{c -a}$

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

$m = \frac{0 - (-4)}{1-0} = \frac{4}{1}  = 4$

⇒ 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