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=\frac{\Delta y}{\Delta x}=\frac{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=\frac{0-3}{14-7}=\frac{-3}{7}$$\text{Substitute m=}\frac{-3}{7}\text{ and b=6 in the line equation, we get}$

Hence the required equation is

$y=-\frac{3}{7}x+6$