Given:
x y
0 5
4 9
We will use the slope formula: m = y2 -y1 / x2 - x1
m = 9 - 5 / 4 - 0 = 4 / 4
m = 1
The slope is 1.
y = mx + b
y = 1x + b
We need to find the value of b or x-intercept.
5 = 1(0) + b
5 - 0 = b
5 = b
y = x + 5 This is the equation.
To check:
(0,5)
y = 0 + 5
y = 5
(4,9)
y = 4 + 5
y = 9