Question

Why equation is represented by the equation on the graph

Answer 1

Choice D is correct answer.

Explanation:

We have given a line.

We have to find the equation of line.

y = mx+c is the equation of line where m denotes slope and c is y-intercept of line.

y-intercept is a point on graph where value of x is zero.

From graph,we observed that

y-intercept is 2.

c = 2

Now, select any point that is passes through the line.

(x,y) = (2,0)

Putting values in equation of line, we have

0 = m(2)+2

2m = -2

m = -1

Hence, slope is -1,

y = (-1)x+(2)

y = -x+2 is equation of line given on the graph.

Answer 2

Answer: Option D

Explanation:

The equation of the line, by definition, has the following form:

y=mx+b

Where m is the slope and b is the y-intercept

As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.

Now, to find the slope, choose any point of the line and solve for m:

Point (1,1)

1=m(1)+2

-1=m

Then, the equation is:

y=-x+2