Question

71) y = -x + 32AY5+21ti6 5 4 3 2 11 2 3 43 6XHelp me solve and graph

Answer 1

We have the next equation

`y=(7)/(2)x+3`

Seeing the function we can see that it has a linear form.

To graph the linear function we must find the intercepts of the function

y-intercept:

To find the y-intercept we must replace x = 0 in the function and then solve for y

`\begin{gathered} y=(7)/(2)(0)+3 \\ y=0+3 \\ y=3 \end{gathered}`

So, the y-intercept is the point (0, 3)

x-intercept:

To find the x-intercept we must replace y = 0 in the function and then solve for x

`\begin{gathered} 0=(7)/(2)x+3 \\ (7)/(2)x=-3 \\ x=(-3\cdot2)/(7) \\ x=-(6)/(7)=-0.857 \end{gathered}`

So, the x-intercept is the point (-0.857 , 0)

Now, we have two point of the graph, we must join them and this will be our graph. This, because is a linear function.

So, the graph will be