Answer :

Answer:

[tex]- \frac{4}{3} [/tex]

Step-by-step explanation:

[tex]gradient \: of \: a \: line \: = \frac{ y_{2} - y_{1}}{ x_{2} - x_{1} } [/tex]

Therefore,

gradient of the lines AB

[tex] = \frac{ - 3 - 5}{1 - ( - 5)} [/tex]

[tex] = \frac{ - 8}{1 + 5} [/tex]

[tex] = \frac{ - 8}{6} [/tex]

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

Answer:

-4/3

Step-by-step explanation:

x¹ = -5

x² = 1

y¹ = -5

y² = -3

● gradient formula:

y²-y¹ / x²-x¹

• (-3)-5 / 1-(-5)

= -8 / 6

then simplify (divide by 2)

= -4 / 3