Question

Question #38dd4

Answer 1

`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.