Question

How do you find the equation of the line that passes through point (0, -8) with a slope of 7/10?

Answer 1

`y = 7/10x -8`

Explanation:

This is the easiest question we can get to find the equation of the line! The point we are given `(0, -8)` is the y-intercept (c). The clue for this is that the x-value is 0, which means the point lies on the y-axis.

`c = -8, and m = 7/10`

So, we have `c`, we have the slope `m` and we can just substitute the numbers into `y = mx +c`

`y = 7/10x -8`

Answer 2

`y=7/10x-8`

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 b = -8 and `m=7/10`

substitute these values into the equation.

`rArry=7/10x-8" is the equation"`