Use absolute value to express the distance between −13 and 17 on the number line

Step-by-step explanation:

Distance between two points a and b  using the absolute value is given by

|b-a|.

Here we have a=-13

and b =17

so

Distance = | 17- (-13) |

Distance = |17 +13 |

Distance = | 30 |

Distance = 30 units

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).