Question 4 Multiple Choice Worth 4 points) (05.02)
Two quantities are related, as shown in the table:
х у
2 10
4 9
6 8
8 7
Which equation best represents the relationship?
y = 1/2x + 11
y = -1/2x + 11
y = 2x + 10
y = 2x + 11

Question No 4

The equation will be:

Option B is correct answer.

Question No 5

The equation will be:

Option A is correct answer.

Step-by-step explanation:

Question 4

The option equations are in slope intercept forms, so we will write equation in slope intercept form.

The general equation of slope intercept form is: where m is slope and b is y-intercept

Finding Slope:

Using the point (2,10) and (4,9) we can find slope

The formula used is:

Putting values and finding slope:

So, we get slope m = - 1/2

Finding y-intercept

Using point (2,10) and slope m =1/2 we can find y-intercept

So, equation will be:

Option B is correct answer.

Question 5

The option equations are in slope intercept forms, so we will write equation in slope intercept form.

The general equation of slope intercept form is: where m is slope and b is y-intercept

Finding Slope:

Using the point (0,4) and (4,7) from the graph we can find slope

The formula used is:

Putting values and finding slope:

So, we get slope m = 3/4

Finding y-intercept

Using point (0.4) and slope m = 3/4 we can find y-intercept

So, equation will be:

Option A is correct answer.