Respuesta :

Answer:

the answer is h= -3

Step-by-step explanation:

add 7 to -10 to find the value of h

Answer:

-3

Step-by-step explanation:

You can use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope of a line going through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

I like to line up the points and subtract vertically. Then put 2nd difference over 1st difference.

(6,h)

minus

(7,-10)

------------

-1     h-(-10)

[tex]\frac{h-(-10)}{-1}[/tex]

This also said to be equal to -7:

[tex]\frac{h+10}{-1}=-7[/tex]

Multiply -1 on both sides:

[tex]h+10=7[/tex]

Subtract 10 on both sides:

[tex]h=7-10[/tex]

[texh=-3[/tex]

So if h=-3 then the slope of the line going through (6,h) and (7,-10) is -7.

Let's test it:

(6,-3)

minus

(7,-10)

----------

-1  7

So the slope is 7/-1=-7. This is the intended goal.

The check is good.