Question

what is the equation of a line that contains points (1,7) and (5,3)

Answer 1

Answer:

Given points are x(1 , 7) and (5 , 3)

Step-by-step explanation:

The equation of line is given by

y - y1 = ( y2 - y1 / x2 - x1) (x - x 1 )

y - 7 = (3 -7/5-1) ( x -1)

y -7 = -4/4 ( x -1 )

y - 7 = -1 (x -1)

y -7 = - x + 1

x + y - 7 -1 =0

x + y - 8 = 0

Which is the required equation.

Hope it will help you.

Answer 2

Answer:

y=x+6

Step-by-step explanation:

First find the slope. $\frac{y2-y1}{x2-x1}$

$\frac{3-7}{5-1}$ = $\frac{-4}{4}$=-1

Then plug your slope and one of the points into point slope form.

y-y1=m(x-x1)

y-7=1(x-1)

y-7=x-1

y=x+6