Question

How do you write an equation in standard form given point (3,0) and slope 5?

Answer 1

y = 5x - 15

Explanation:

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

`color(red)(|bar(ul(color(white)(a/a)color(black)(y-b=m(x-a))color(white)(a/a)|)))`
where m represents the slope and (a ,b) a point on the line.

here m = 5 and (a ,b) = (3 ,0)

Substitute these values into the equation and simplify.

y - 0 = 5 (x - 3) → y = 5x - 15

Thus `color(red)(|bar(ul(color(white)(a/a)color(black)(y=5x-15)color(white)(a/a)|)))` is the equation