Question

Write an equation of the line containing the given points.a) P(-1,3), Q(0,4)

Answer 1

Answer: We have to find the equation of the line that contains the given two points, which are:

`\begin{gathered} P_1(-1,3) \\ P_2(0,4) \\ \end{gathered}`

for the equation of the line, we will find the slope first, and then we will find the Y-intercept:

`\begin{gathered} y=mx+b \\ m=(\Delta y)/(\Delta x)=(3-4)/(-1-0)=(-1)/(-1)=1 \\ \therefore\rightarrow\text{ } \\ y=x+b \\ \text{from P}_1\rightarrow \\ 3=-1+b \\ \therefore\rightarrow \\ b=4 \\ \therefore\rightarrow \\ y=x+4 \end{gathered}`

This is the equation of the line, with given properties!