Respuesta :

kudzordzifrancis
The equation in slope intercept form is given by;

[tex]y = mx + c[/tex]
Where m is the slope, given by;

[tex]m = \frac{5 - - 10}{6 - 3} [/tex]
[tex]m = \frac{5 + 10}{6 - 3} [/tex]
[tex]m = \frac{15}{3} = 5[/tex]
We substitute the value of m into the equation to obtain;

[tex]y = 5x + c[/tex]
We find c by substituting any of the points,

[tex]5= 5(6) + c[/tex]
[tex]5 = 30 + c[/tex]
[tex]c = - 25[/tex]
This implies the equation in slope intercept form is;

[tex]y = 5x - 25[/tex]
The correct answer is D.

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