Question

Which is an equation of the line that passes through the points (5, 2) and (10, -3)? HELP​

Answer 1

y = − x + 7

Explanation:

let D be the line that passes through the points (5, 2) and (10, -3)

Then D has an equation of the form D: y = mx + p

Now we need to find m and p in order to be able to write the equation of the line D:

`m = (2-(-3))/(5-10) = (5)/(-5) = -1`

Since the point (5 , 2) lies on the line D then :

2 = -1 × (5) + p

then

2 = -5 + p

then

p = 2 + 5

= 7

then

p = 7

Conclusion:

Since m = -1 and p = 7

then

`D : y = -x + 7`