Question

Here's a graph of a linear function. Write the equation that describes that function.

Answer 1

Answer:

The equation of the line is

2y=x+8

Step-by-step explanation:

This is a straight line graph.

And general equation of a straight is given by

y=mx+c

Where m is slope

c is the intercept on y axis at x=0

So at y=0, x=8. This is from the graph.

And inserting this value of y and x into the straight line equation

y=mx+c

0=-8m+c

Therefore, c=8m. Equation 1

Taking another point on the graph

at=0, y=4

Also, inserting this value of y and x into the straight line equation

4=0×x+c

4=0+c

Therefore, c=4.

Therefore the intercept is 4

From equation 1

c=8m c=4

Then m=c/8

m=4/8

m=1/2

Then the equations of then line is

y=mx+c

y=(1/2)x+4

Multiply through by 2

2y=x+8

The equation of the line is

2y=x+8