erivas554 erivas554
  • 26-05-2021
  • Mathematics
contestada

What is an equation of the line that passes through the points (-2,-6) and (6,8)?

Respuesta :

jessicasyasya
jessicasyasya jessicasyasya
  • 26-05-2021

Answer:

y=7/4x–5/2

Step-by-step explanation:

You must find the slope first, let it be m

[tex]m = \frac{y2 - y1}{x2 - x1} \\ = \frac{8 - ( - 6)}{6 - ( - 2)} \\ = \frac{14}{8} \\ = \frac{7}{4} [/tex]

then insert tu the formula y=mx+c to find the c (c is the intercept of y axis) choose any point that you want. i use (6,8)

[tex]y = mx + c \\ 8 = \frac{7}{4} (6) + c \\ c = - \frac{5}{2} [/tex]

so the equation is

[tex]y = \frac{7}{4} x - \frac{5}{2} [/tex]

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