Respuesta :

Answer:

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

(-3,-4)....x1 = -3 and y1 = -4

(-2,r)....x2 = -2 and y2 = r

slope = 10

now sub

10 = (r - (-4) / (-2 - (-3)

10 = (r + 4) / (-2 + 3)

10 = (r + 4) / 1.....multiply both sides by 1, eliminating the 1 on the right

10 * 1 = r + 4

10 = r + 4

10 - 4 = r

6 = r <======

Answer:

6 = r

Explanation:

Slope = [tex](y2 - y1)/(x2 - x1)[/tex]

[tex](-3,-4)....x1 = -3[/tex] and [tex]y1 = -4[/tex]

[tex](-2,r)....x2 = -2[/tex] and [tex]y2 = r[/tex]

Slope = [tex]10[/tex]

Now substitute.

[tex]10 = (r - (-4) / (-2 - (-3)\\10 = (r + 4) / (-2 + 3)\\10 = (r + 4) / 1[/tex]

Multiply both sides by 1, eliminating the 1 on the right

[tex]10 * 1 = r + 4\\10 = r + 4\\10 - 4 = r\\6 = r[/tex]