What is the point slope form of an equation with the slope of 3/5 that passes through the point(10,-2)?

##y+2=3/5(x-10)##

The equation of a line in ##color(blue)"point-slope form"## is.

##color(red)(|bar(ul(color(white)(a/a)color(black)(y-y_1=m(x-x_1))color(white)(a/a)|)))## where m represents the and ## (x_1,y_1)" a point on the line"##

here ##m=3/5" and " (x_1,y_1)=(10,-2)##

substitute these values into the equation.

##rArry-(-2)=3/5(x-10)##

Thus ##y+2=3/5(x-10)" is equation in point-slope form"##

By expanding the bracket and collecting like terms we also get

##y+2=3/5x-15rArry=3/5x-17## in .