Answer:
y = − x + 7
Step-by-step 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:
[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]
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
[tex]D : y = -x + 7[/tex]
