Respuesta :

Answer:

A. The slope is 3

    The y-intercept is (0, -3).

Step-by-step explanation:

The y-intercept is the value of (y) when (x) is zero.

On this occasion when (x) is zero (y) is -3 therefore, the y-intercept is -3.

The slope is easy it's rise/run.

complete the table.

rise/run = y/x.

so the slope is 3 because it's 3/1, there is an invisible 1 if you need to make a whole number a fraction you put the number over 1.

every time x goes right once, y goes up 3 times.

Let's finish the table and see if we get the right results which are when(x) equals 6 then (y) needs to equal 15.

(x),(y) When m = 3/1

0, -3

1, 0

2, 3

3, 6

4, 9

5, 12

6, 15 (This means the slope is 3.)

[tex]\huge \bf༆ Answer ༄[/tex]

Slope of the given function ~

  • [tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex]

  • [tex] \sf \dfrac{15 - ( - 3)}{6 - 0} [/tex]

  • [tex] \sf \dfrac{15 + 3}{6} [/tex]

  • [tex] \sf \dfrac{18}{6} [/tex]

  • [tex] \sf3[/tex]

And the y - intercept of the function is ~

  • [tex] \sf(0, - 3)[/tex]

[ y - intercept is the y - coordinate of the point on line when it's x - coordinate is 0 ]

And hence the Correct choice is A