Answer: y = 6
Step-by-step explanation:
We are given two coordinate points and a slope, and are asked to find the y-intercept of the second coordinate point. To find this missing value, we can use the slope formula, substitute our known values, and solve for y.
[tex]\displaystyle \text{Slope}=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]\displaystyle 3=\frac{y-3}{5-4}[/tex]
[tex]\displaystyle \frac{3}{1} =\frac{y-3}{5-4}[/tex]
3(5-4) = 1(y - 3)
3(1) = 1(y - 3)
3 = y - 3
6 = y
The missing y-intercept is 6.
