Question

If (x,4) and (5,6) represents two points on a line, what must the value of x be in order to have a slope of 1

Answer 1

The value of x is "3"

Explanation:

Given value:

points: (x, 4) (5,6)

slope = 1

Formula of slope
`\bold{m= (y_2-y_1)/(x_2-x_1)} \\\\`

Solution:

after compare the from:
`(x_1, y_1) \ and \ (x_2, y_2)\\\\`

`x_1= x\\y_1= 4\\x_2=5\\y_2= 6\\\\m =(y_2-y_1)/(x_2-x_1)\\\\\Rightarrow 1= (6-4)/(5-x)\\\\\Rightarrow 5-x=6-4\\\\\Rightarrow 5-x=2\\\\\Rightarrow 5-2=x\\\\\Rightarrow x=3`