The first point given is (3, 1) with the m = 0
The slope-intercept equation for a given point is
(y - y1) = m(x - x1)
Where x1 = 3 and y1 = 1
m = slope = 0
(y - 1) = 0(x - 3)
Open the parentheses
y - 1 = 0*x - 0*3
y - 3 = 0 - 0
y = 0 + 1
y = 1
For the first point, the answer is y = 1
Second point
We have (4, 6) and m = 1
x1 = 4 and y1 = 6, m= 1
(y - y1) = m(x - x1)
(y - 6) = 1(x - 4)
Open the parentheses
y - 6 = 1*x - 1*4
y - 6 = x - 4
Make y the subject of the formula
y = x - 4 + 6
y = x + 2
The slope- intercept equation for the point (4, 6) is y = x + 2