Answer:
The value of x is "3"
Step-by-step explanation:
Given value:
points: (x, 4) (5,6)
slope = 1
Formula of slope [tex]\bold{m= \frac{y_2-y_1}{x_2-x_1}} \\\\[/tex]
Solution:
after compare the from: [tex](x_1, y_1) \ and \ (x_2, y_2)\\\\[/tex]
[tex]x_1= x\\y_1= 4\\x_2=5\\y_2= 6\\\\m =\frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow 1= \frac{6-4}{5-x}\\\\\Rightarrow 5-x=6-4\\\\\Rightarrow 5-x=2\\\\\Rightarrow 5-2=x\\\\\Rightarrow x=3[/tex]