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:

$m=\frac{-4-3}{-3-4}\rightarrow m=\frac{-7}{-7}\rightarrow m=1$

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:

$y=x-1$