Answer:
The 4th option is correct.
The equation of the line is: (y + 3) = 3 (x - 4)
Step-by-step explanation:
The equation of a line using two points, (x₁, y₁) and (x₂, y₂) is:
[tex](y-y_{1})=m(x-x_{1})[/tex]
Here m is the slope of the line.
The formula to compute slope is:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given: The two points are (4, -3) and (5, 0)
The equation of the line passing through the points (4, -3) and (5, 0) is:
[tex](y-y_{1})=m(x-x_{1})\\(y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\(y-(-3))=\frac{0-(-3)}{5-4}(x-4)\\(y+3)=3(x-4)[/tex]
Thus, the line passing through the points (4, -3) and (5, 0) is (y + 3) = 3 (x - 4).
