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Find the equation of the line that that contains the points (5, 8) and (8. 2). Write the equation in the form y = mx + b and identify m and b. m = _______ b = ________

Respuesta :

Given the points:

(5, 8) and (8. 2);

The equation of the line y = mx + b, will be:

[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}\text{ }[/tex]

Then:

[tex]m\text{ = }\frac{2\text{ - 8}}{8\text{ - 5}}\text{ = -2}[/tex]

Now, to find b:

2 = -2(8) + b

2 = -16 + b

b = 18

So, the equation of the line is:

y = -2x + 18

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