Answer :
Option B
slope:-
[tex]\\ \sf\longmapsto m= \dfrac{-24+14}{4-2}=\dfrac{-10}{2}=-5[/tex]
Equation of line in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y+14=-5(x-2)[/tex]
[tex]\\ \sf\longmapsto y+14=-5x+10[/tex]
[tex]\\ \sf\longmapsto y=-5x+4[/tex]
Answer:
- Option B is close but has different y-intercept
Step-by-step explanation:
Let's verify each line for their slope, we are looking for m = - 5
A. a line passing through the points (1,9) and (3, 19)
- m = (19 - 9)/(3 - 1) = 10/2 = 5, no
B. a line passing through the points (2, -14) and (4, -24)
- m = (-24 + 14)/(4 - 2) = -10/2 = - 5
The slope is correct, find the y-intercept:
- -14 = -5*2 + b
- -14 + 10 = b
- -4 = b
The line is:
- y = - 5x - 4
The line has same slope but different y-intercept
C. a line passing through the points (1, 1) and (3, 11)
- m = (11 - 1)/(3 - 1) = 10/2 = 5, no
D. a line passing through the points (2,6) and (4, -16)
- m = (-16 - 6)/(4 - 2) = -22/2 = - 11, no