Question

For what value of x, the slope of the line passing through P(-2,-8) and Q(5,x) is 1?

Answer 1

`x=-1`

Explanation:

The equation for slope is:

`Slope=(y_2-y_1)/(x_2-x_1)`

In this case, x would represent,
`y_2`. Therefore...

`Slope=(y_2-y_1)/(x_2-x_1)\\1=(x-(-8))/(5-(-2))\\1=(x+8)/(5+2)\\1=(x+8)/(7)\\\\Multiply\ 7\ to\ both\ sides\\\\7=x+8\\\\\ Subtract\ 8\ from\ both\ sides\\\\x=-1`