Question

Traza el grafico de la función y= ax+b,

En cada caso y escribe la ecuacion de la función
A) Si a = 2 y b = 1
B) pasa por los puntos (2, 2) y a = 3

Answer 1

a)
`y= 2x+1`

The graph is on the figure with the red line

b)
`2= 3*2 +b`

`b= 2-6 =-4`

And the equation would be:

`y = 3x -4`

The graph is on the figure with the blue line

Explanation:

Part a

We know that a=2 and b =1

The general expression is given by:

`y= 2x+1`

The graph is on the figure with the red line

Part b

For this case we know that a=3 and we know a point given (2,2). Then we can find the value of b like this:

`2= 3*2 +b`

`b= 2-6 =-4`

And the equation would be:

`y = 3x -4`

The graph is on the figure with the blue line