Answer:
y-intercept = 4
Step-by-step explanation:
We can use the slope-intercept formula y = mx + b to find b, the y-intercept.
First we need to find the slope by using the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
In this case, our (x₁, y₁) = (3, 4) and our (x₂, y₂) = (6,4)
Plugging these numbers into our slope formula gives us [tex]m=\frac{4-4}{6-3} =\frac{0}{2} =0[/tex]
So we have a slope of zero and now we can plug in one set of points into our slope-intercept formula to solve for b
We can choose either of the two points to use for x and y, I will choose to use (3, 4): 4 = 0(3) + b → 4 = 0 + b → 4 = b
