The line of the equation would be y = -1/4x + 11/16.
In order to find that, we'll put the ordered pair and the slope into slope intercept form. Then we can solve for the intercept.
y = mx + b
1 = -1/4(-5/4) + b
1 = 5/16 + b
11/16 = b
So then we put that in the equation with slope for the final equation.
6x + 18y = 18. Let us take x = 0
6(0) + 18y = 18
0 + 18y = 18
18y = 18
y = 18/18
y = 1
(0, 1) [x = 0, y = 1]
6x + 18y = 18. Let us take y = 0
6x + 18(0) = 18
6x + 0 = 18
6x = 18
x = 18/6
x = 3
(3, 0) [x = 3, y =0]
Infinite solutions can be found for x and y
