16. What is the equation in slope-intercept form of a line passing through points (0,0) and (2, 4)?

y= 2x

Step-by-step explanation:

(0,0) and (2, 4)

m= (y2-y1)/ (x2-x1)

m= (4-0)/(2-0)

m= 4/2

m=2

y- y1= m(x -x1)

y - 4= 2(x - 2)

y-4= 2x - 4

y= 2x

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.