Question

2

Answer 1

Option B

slope:-

$\\ \sf\longmapsto m= \dfrac{-24+14}{4-2}=\dfrac{-10}{2}=-5$

Equation of line in point slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y+14=-5(x-2)$

$\\ \sf\longmapsto y+14=-5x+10$

$\\ \sf\longmapsto y=-5x+4$

Answer 2

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