How would you plan a coordinate proof to show that all isosceles right triangles are similar? (Coordinate geometry)

If you shift the linear parent function, f(x)=x, up 13 units, what is the equation of the new function?

Write two point-slope equations for the line passing through the points (6, 5) and (3, 1)

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.