Question

What is the equation of a line that passes through points (2,0) and (6,-4)

Answer 1

Answer:

y = -x + 2

Step-by-step explanation:

We are asked to find the equation of a line

Step 1: find the slope

We are given two points

( 2 , 0) ( 6 , -4)

m = (y_2 - y_1 )/ (x_2 - x_1)

x_1 = 2

y_1 = 0

x_2 = 6

y_2 = -4

Insert the values

m = ( -4 - 0) / ( 6 - 2)

m = -4 / 4

m = -1

Step 2 : substitute m into the equation

y = mx + c

y = -1x + c

Step 3: substitute any of the two points into the equation

Let's pick ( 6 , -4)

x = 6

y = -4

y = mx + c

y = -1x + c

-4 = -1(6) + c

-4 = -6 + c

c = -4 + 6

c = 2

Step 4: substitute c = 2 into the equation

y = mx + c

y = -x + c

y = -x + 2