Question #38dd4

1 Answer
Aug 8, 2016

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

Explanation:

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 slope 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 slope-intercept form.