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Sagot :

Answer:

[tex]slope = \frac{ {y}^{1} - {y}^{o} }{ {x}^{1} - {x}^{o} } \\ for \: points \: given \\ = \frac{11 - 7}{5 - 4} \\ = \frac{4}{1} \\ slope = 4[/tex]

Answer:

m = 4

Step-by-step explanation:

equation of point slope formulae

[tex]y = mx + c[/tex]

m = slope , c = y-intercept

1) find the slope

* use the two coordinates given to find the slope

slope formulae:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

i) (4,7)

x1 = 4

y1 = 7

ii) (5,11)

x2 = 5

y2 = 11

substitute the values into the formulae

[tex]m = \frac{11 - 7}{5 - 4} [/tex]

[tex]m = \frac{4}{1} [/tex]

[tex]m = 4[/tex]

the slope = 4