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 is D

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=(y_2-y_1)/(x_2-x_1)`

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

`m=(13-(-5))/(-4-2)\\ \\m=(13+5)/(-6) \\m=(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.

Answer 2

y=-3x+1

Explanation:

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