Question

Which equation, in slope-intercept form, represents the relationship shown in this table?

Answer 1

Answer:

$y=2x+8$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the data

(0,8) and (1,10)

substitute in the formula

$m=\frac{10-8}{1-0}$

$m=\frac{2}{1}$

$m=2$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=2$

$b=8$ ----> the y-intercept is the point (0,8)

substitute

$y=2x+8$