Answer
y-4=$\frac{5}{7}$(x-3)
y=$\frac{5}{7}$x+$\frac{13}{7}$
Work Step by Step
m=$\frac{y_2-y_1}{x_2-x_1}$
m=$\frac{-1-4}{-4-3}$
m=$\frac{-5}{-7}$
m=$\frac{5}{7}$
y-y$_1$=m(x-x$_1$)
y-4=$\frac{5}{7}$(x-3)
This is point slope form.
y-4=$\frac{5}{7}$(x)-$\frac{5}{7}$(3)
y-4=$\frac{5}{7}$x-$\frac{15}{7}$
y-4+4=$\frac{5}{7}$x-$\frac{15}{7}$+4
y=$\frac{5}{7}$x-$\frac{15}{7}$+$\frac{28}{7}$
y=$\frac{5}{7}$x+$\frac{13}{7}$
This is slope-intercept form.