9. Write The eQuaTION OF THE LINE THAT Passes THROUGH THE
POINTS (9, 0) AND (0, -6)
in standard form

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contestada

Respuesta :

absor201 absor201 · Answer 1 · 2019-11-09T18:08:56+01:00

The final equation of line that passes through (9, 0) AND (0, -6) is:

[tex]y=\frac{2}{3}x-6[/tex]

Further explanation:

The general form of equation of line is:

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

Given

(x1,y1) = (9,0)

(x2,y2) = (0, -6)

We have to find the slope first:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{-6-0}{0-9}\\=\frac{-6}{-9}\\=\frac{2}{3}[/tex]

Putting the value of slope in general form

[tex]y=\frac{2}{3}x+b[/tex]

To find the value of b, we have to put a point in the equation

Putting (9,0) in equation

[tex]0=\frac{2}{3}(9)+b\\0=2*3+b\\0=6+b\\b=-6[/tex]

Putting the values of b and m in general form

The final equation of line that passes through (9, 0) AND (0, -6) is:

[tex]y=\frac{2}{3}x-6[/tex]

Keywords: Equation of line, Pount-slope form

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