what is the equation of this line in slope intercept,standard,and point slope form.slope equals 2/5; point : (-1,3).
I guess I had best arbitrate.
Your working looks fine to me Mat.
You have not presented it in the three forms as requested but this is no big deal.
Dragonlance needs to find some other food for his hogs. :/
$$\\y-3=\frac{2}{5}*(x--1)\\
y-3=\frac{2}{5}*(x+1) \qquad $This is point slope form$\\\\
y=\frac{2x}{5}+\frac{2}{5}+3\\
y=\frac{2x}{5}+3\frac{2}{5}\qquad $This is gradient and y intercept form.$\\\\\\
5(y-3)=5(\frac{2}{5}*(x+1))\\
5y-15=2*(x+1)\\
5y-15=2x+2\\
0=2x-5y+2+15\\
2x-5y+17=0 \qquad $This is general form $$$
.