Question

Write the equation of a line in slope intercept forthat passes through the points (-3, -4) and (4, 3).Show your work.Need some help on this

Answer 1

First, let'scalculate the slope:

`m=(-4-3)/(-3-4)\rightarrow m=(-7)/(-7)\rightarrow m=1`

Therefore, we know that our equation will have the form:

`y=x+b`

Let's plug in point (4,3) and solve for b,

`\begin{gathered} y=x+b \\ \rightarrow3=4+b \\ \rightarrow3-4=b \\ \Rightarrow b=-1 \end{gathered}`

Therefore, the equation of the line in the slope intercept form is:

`y=x-1`