Respuesta :

To find the slope of the line we have to use the following formula:

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

Use two pairs of values, for example, (6,0) and (3,6):

[tex]m=\frac{6-0}{3-6}=\frac{6}{-3}=-2[/tex]

Now, use one of the pair of values and the slope in the point slope formula to find the equation of the line in slope intercept form:

[tex]\begin{gathered} y-y1=m(x-x1) \\ y-0=-\frac{1}{2}(x-6) \\ y=-2x+12 \end{gathered}[/tex]

It means that the slope of the line is -2 and the y intercept is 12.

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