Question

6. Graph 3x - 2y = -4 7. Graph y = [x - 51 - 3 5 -

Answer 1

6)

the equation is:

`3x-2y=-4`

So we need two poinds to graph the line so I can replace X=0 so:

`\begin{gathered} -2y=-4 \\ y=(4)/(2) \\ y=2 \end{gathered}`

So the first coordinate is (0,2) and now we replace y=0 so:

`\begin{gathered} 3x=-4 \\ x=-(4)/(3) \\ x=1.33 \end{gathered}`

So the secon coordinate is (1.33,0), So now we can graph it:

7)

The equation is:

`y=\lvert x-5\rvert-3`

This is an absolut value that is translate 5 units to the right and 3 units down, what menas the vertex is in the coordinate (5,-3), now we evaluate one point at the right and one at the left of the vertex so we evaluate it in x=0 and x=6

for x=0 will be:

`\begin{gathered} \lvert-5\rvert-3=y \\ 5-3=y \\ 2=y \end{gathered}`

Now for x=6

`\begin{gathered} \lvert6-5\rvert-3=y \\ 1-3=y \\ -2=y \end{gathered}`

So the graph will be: