Question

How do you write an equation in slope intercept form given ( 2,-5), Slope -7/2?

Answer 1

`y=-7/2x+2`

Explanation:

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

`color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))`
where m represents the slope and b, the y-intercept.

Here we are given the slope and require to find b.

We can write a partial equation : `y=-7/2x+b`

To calculate b, substitute the given point (2 ,-5) into the partial equation.

x = 2 , y = -5 : `-7/cancel(2)xxcancel(2)+b=-5`

`rArr-7+b=-5rArrb=-5+7=2`

`rArry=-7/2x+2" is equation in slope-intercept form"`