Question 326587
We can use the point-slope formula to find the equation of the line L



{{{y-y[1]=m(x-x[1])}}} Start with the point-slope formula.



{{{y-y[1]=5(x-x[1])}}} Plug in {{{m=5}}} (the given slope)



{{{y-(-3)=5(x-1)}}} Plug in {{{x[1]=1}}} and {{{y[1]=-3}}} (the given point)



{{{y+3=5(x-1)}}} Rewrite {{{y-(-3)}}} as {{{y+3}}}



{{{y+3=5x-5}}} Distribute.



{{{y=5x-5-3}}} Subtract 3 from both sides to isolate y.



{{{y=5x-8}}} Combine like terms.



So the equation of the line L that has a slope of 5 that goes through the point (1,-3) is {{{y=5x-8}}}