contestada

A line passes through (-1, 3) and (p, 7) and has a slope of -4/3 Find the value of p.

Respuesta :

slope= (x2-xl)(y2-y1)

Answer:

Step-by-step explanation:

y - 3 = - [tex]\frac{4}{3}[/tex] ( x + 1 )

y = - [tex]\frac{4}{3}[/tex] x - [tex]\frac{4}{3}[/tex] + 3

y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{5}{3}[/tex]

7 = - [tex]\frac{4}{3}[/tex] p + [tex]\frac{5}{3}[/tex]

[tex]\frac{4}{3}[/tex] p = - 7 + [tex]\frac{5}{3}[/tex]

p = ( - [tex]\frac{16}{3}[/tex] ) × [tex]\frac{3}{4}[/tex] = - 4