Question

Graph the line with slope-3/4passing through the point (-5, -2)

Answer 1

We have that the equation of the line with slope -3/4 and passing through the point (-5,-2) is:

`y+2=-(3)/(4)(x+5)`

since we already know one point where the line passes, we need another point. For this, we can make x = -1 and solve for y:

`\begin{gathered} x=-1 \\ \Rightarrow y+2=-(3)/(4)(-1+5)=-(3)/(4)(4)=-3 \\ \Rightarrow y=-3-2=-5 \\ \Rightarrow y=-5 \end{gathered}`

then, since the line passes through (-5,-2) and (-1,-5), the line can bee seen in the plane like this: