Question

I need help on substituting x,y,m to find B :( !! (Also did I get the right answer? & what is the y-intercept ?) Help please !!

Answer 1

We have a line with a slope m=-2 and that pass through (3,-1).

The easiest way to get the equation of the line when knowing the slope and one point of the line is to write the equation in point-slope form:

`y-y_0=m(x-x_0)`

In this case, m=-2 and (x0,y0)=(3,-1), so we can replace and rearrange as:

`\begin{gathered} y-(-1)=-2(x-3) \\ y=-2(x-3)-1 \\ y=-2x+6-1 \\ y=-2x+5 \end{gathered}`

Answer: y = -2x+5