Question

What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of `3/4`?

Answer 1

Answer : Option C.

Explanation:

Hey there!

The given point is: (5,-4). And the given slope is 3/4.

Note: Use one-point formula.

~ Using one-point formula.

`y - y1 = m(x - x1)`

~ Keep all values.

`y + 4 = (3)/(4) (x - 5)`

~ Simplify it to get it in slope intercept form (i.e y = mx+b)

`y + 4 = (3)/(4) x - (15)/(4)`

`y = (3)/(4) x - (15)/(4) - 4`

`y = (3)/(4) x - (31)/(4)`

Therefore, the equation is y = 3/4x - 31/4.

Hope it helps...