Question

Write the equation of the line that passes through the given points in slope-intercept form.(-1, 5) and (-4, 2)m =b =equation

Answer 1

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(2-5)/(-4-(-1)) \\ m=(-3)/(-3) \\ \\ m=1 \\ \\ y=x+b \\ 5=-1+b \\ b=5+1 \\ b=6 \\ \\ \\ \text{ The equation is } \\ y=x+6 \end{gathered}`