Question

4a. Explain how we can tell that this graph represents the given equation.*1 point108(0,6)6packs of cardstock4(1,3)2(14,0)24 6.8 10 12 14 16 18sheets of stickers

Answer 1

The points on hte graph are

(0,6), (7,3) and (14,0).

Recall the general line equation is

`y=mx+b`

where m is slope and b is the y-intercept.

The y-intercept is the point where the graph crosses the y-axis.

The point (0,6) is the intersection point of the line and y-axis.

So, we get b=6.

Consider the points

`(x_1,y_1)=(7,3)\text{ and }(x_2,y_2)=(14,0)`

Recall that the formula for slope is

`m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)`
`Susbtitude\text{ }x_1=7,x_2=14,y_1=3\text{ and }y_2=0.`

`m=(0-3)/(14-7)=(-3)/(7)`
`\text{Substitute m=}(-3)/(7)\text{ and b=6 in the line equation, we get}`

Hence the required equation is

`y=-(3)/(7)x+6`