Question

a line passes through point (1, -4) and has a slope of -6. write an equation for this line

Answer 1

So we have a value for y, a value for x, and a value for m. So we can plug in and solve for b!
\[y=mx+b \rightarrow -4 = (-6)(1) + b \rightarrow -4=-6+b \rightarrow b=2\]So we have the equation\[y=-6x+2\]Makes sense?