Question

What is the slope intercept form of the line passing through `(-7,23)` with a slope of `-5`?

Answer 1

y = -5x - 12

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 know m = -5 and can write a partial equation.

hence y = -5x + b is the partial equation

To find b use the point (-7 ,23) and substitute x = - 7, y = 23 into the partial equation.

`rArr-5(-7)+b=23rArrb=23-35rArrb=-12`

`rArry=-5x-12" is the equation in slope-intercept form"`