Question

Which of the following graphs represents the equation y=-2x+3?АBсDAY(0,39(0, 3)12.2བསམ་ བསང་11-18(0-3)(1.1)0,214O A. Graph A.B. Graph BC. Graph CD. Graph D

Answer 1

Step-by-step explanation

In order to know wich equation would be appropiate, we need to compute the slope, and it should be equal to -2 because the equation is y= -2x + 3.

Additionally, the y-intercept would be at y=3 because It's expressed in the equation. The only equations that comply this condition are B) and D).

Let's compute the slope in D):

The considered ordered pairs are (x_1,y_1) = (0,3) and (x_2,y_2) = (2,2)

`\text{Slope}=(y_2-y_1)/(x_2-x_1)=(2-3)/(2-0)=(-1)/(2)=-(1)/(2)`

But, -1/2 is not the correct slope, in conclusion the solution is the OPTION B)