if point (h,1) is on the graph of the equaton 5x - 4 = y, which is the value of h?

Question

if point (h,1) is o the graph of the equaion 5x -4 = y, which is the value of h

Answer 1

Given equation is 5x-4 = y

Graph of above equation

Observe the graph y coordinate is 1 when x coordinate is1.

coordnate pair (1,1) is passes through y = 5x-4.

(h,1) = (1,1)

h = 1

To check: Substitute x,y value in line equation.

5x-4 = 1

5*1-4 = 1

5-4 = 1

1 = 1

Answer 2

With out graphing, we will find out the value of h.

The line equation is y = 5x - 4.

The point (h, 1) is on the graph of the line y = 5x - 4.

Note :

The function f has a point (h, 1).

This means that, x = h and y = f (h) = 1.

Substitute the values of x = h and f (h) = 1 in f(x) = y = 5x - 4.

f(h) = 5(h) - 4 = 1

5h - 4 = 1

5h = 1 + 4

5h = 5

h = 5/5

⇒ h = 1.