Question

can you please solve this practice problem for me I really need assistance .The other two options are:C. y = 18x y = 4xD. y = -x + 18 y = 3/4x + 4

Answer 1

In order to find the equation of each line, we can use two points of each line in the slope-intercept form of the linear equation:

`y=mx+b`

For the crescent line, let's use the points (0, 4) and (8, 10), so we have:

`\begin{gathered} y=mx+b \\ (0,4)\colon \\ 4=0\cdot m+b \\ b=4 \\ \\ (8,10)\colon \\ 10=8m+4 \\ 8m=6 \\ m=(3)/(4) \end{gathered}`

So the equation is y = 3/4x + 4.

For the second line, let's use the points (0, 18) and (8, 10):

`\begin{gathered} y=mx+b \\ (0,18)\colon \\ 18=0m+b \\ b=18 \\ \\ (8,10)\colon \\ 10=8m+18 \\ 8m=-8 \\ m=-1 \end{gathered}`

So this equation is y = -x + 18.

Therefore the correct option is D.