How can i graph the equation using the slope and the y intercept y=7/4x+2

Since you already have the equation, all you need to do is pick two values of x.

For example, when x = 0, you get y = 7/4(0) + 2 = 2. So the line passes through the point (0, 2). When x = 4 (picked to cancel the 4 in the fraction), you get y = 7/4(4) + 2 = 9, so the line also passes through the point (4, 9).

You can describe an entire line by any two points that it contains. So plot these two points, then connect the dots with a line passing through them both.