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:

Answer : Option C.

Step-by-step 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.

$y + 4 = \frac{3}{4} (x - 5)$

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

$y + 4 = \frac{3}{4} x - \frac{15}{4}$

$y = \frac{3}{4} x - \frac{15}{4} - 4$

$y = \frac{3}{4} x - \frac{31}{4}$

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

Hope it helps...