63.7k views
3 votes
Which of the following graphs represents the equation y=-2x+3?

Which of the following graphs represents the equation y=-2x+3?-example-1

2 Answers

5 votes

Answer:

b.

Explanation:

Using the gradient rule m =(y2-y1)/(x2-x1)

M=(1-3)/(1-0)

M=-2

Into the general equation y=mx+c

Y=-2x+c

Put (1,1) a point on the line into the equation

1=-2(1)+c

1+2=c

3=c

General equation

Y=-2x+3

User Demetra
by
8.1k points
4 votes

Answer:

Graph B

Explanation:

We are given the equation
y=-2x+3.

The equation is in slope intercept form:
y=mx+b

'm' - slope

'b' - y-intercept

In the equation, 'b' is replaced by 3. This means that the line crosses the y-axis at (0,3). We can eliminate graph A and C, as their y-intercept is not equal to 3.

Now we have to find the slopes of Graphs B and D.

Slope is rise over run.
m=(y_2-y_1)/(x_2-x_1)

For Graph B:

We are given the points of (0,3) and (1,1).


(1-3)/(1-0)=(-2)/(1)=-2

Graph B's slope is -2.

For Graph D:

We are given the points of (0,3) and (2,2).


(2-3)/(2-0)=(-1)/(2) =-(1)/(2)

Graph D's slope is -1/2.

Since the slope for graph B is -2 and the y-intercept is 3, graph B should be the correct answer.

User GarMan
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.