Question

Which is the equation of the line for the points in the given table?

OA) y= -2x - 1
B) y= -2x + 5
C) y=- 2x - 5
D) y=-3x + 1

Answer 1

Answer:

y=-3x+1

Step-by-step explanation:

Typed into desmos

Answer 2

Answer:

Answer is D

Step-by-step explanation:

Firstly we need to know the slope-intercept form of the equation which is

$y=mx+c$

where m is the slope/gradient and c is the y-intercept

calculate the slope which is m by the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

use any two points lets say i use (2,-5) and (-4,13)

$m=\frac{13-(-5)}{-4-2}\\ \\m=\frac{13+5}{-6} \\m=\frac{18}{-6}\\ m=-3$

so our slope is m which is -3

and in our multiple choice's we can see that only 1 equation has the gradient of -3 which is option D so option D is the correct answer.