Respuesta :

you know, to draw a line, all you need is two points, well, low and behold, we have them here, so let's use them, and then draw a line through them.

check the picture below.
Ver imagen jdoe0001

Answer:

Since, the equation of the line passes through the point [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Thus, the equation of the line that passes through the points (-3,7) and (6,4) is,

[tex]y-7=\frac{4-7}{6-(-3)}(x-(-3))[/tex]

[tex]y-7=\frac{-3}{6+3}(x+3)[/tex]

[tex]y-7=\frac{-3}{9}(x+3)[/tex]

[tex]y-7=-\frac{1}{3}(x+3)[/tex]

[tex]3y-21=-x-3[/tex]

[tex]\implies x+3y=18[/tex]

Graphing the line :

Since, the x-intercept of the line is (18,0)

And, the y-intercept of the line is (0,6)

Ver imagen slicergiza

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