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: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.[tex]y - y1 = m(x - x1)[/tex]~ Keep all values.[tex]y + 4 = \frac{3}{4} (x - 5)[/tex]~ Simplify it to get it in slope intercept form (i.e y = mx+b)[tex]y + 4 = \frac{3}{4} x - \frac{15}{4} [/tex][tex]y = \frac{3}{4} x - \frac{15}{4} - 4[/tex][tex]y = \frac{3}{4} x - \frac{31}{4} [/tex]Therefore, the equation is y = 3/4x - 31/4.Hope it helps...