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Write the equation of the line in fully simplified slope-intercept form.

Write The Equation Of The Line In Fully Simplified Slopeintercept Form class=

Sagot :

lipor

Answer:

you can write the equation of any line in the form of y = mx + b .

Step-by-step explanation:

Leora03

Answer:

[tex]y = - \frac{1}{6} x + 2[/tex]

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Let's first identify the coordinates of two points on the graph:

(-6, 3) and (6, 1)

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

Slope

[tex] = \frac{3 - 1}{ - 6 - 6} [/tex]

[tex] = \frac{2}{ - 12} [/tex]

[tex] = - \frac{1}{6} [/tex]

Substitute the value of the slope into m in the equation:

[tex]y = - \frac{1}{6} x + c[/tex]

To find the value of c, substitute a pair of coordinates into the equation.

When x= 6, y= 1,

[tex]1 = - \frac{1}{ 6} (6) + c[/tex]

1= -1 +c

c= 1 +1

c= 2

Thus, the equation of the line is y= -⅙x +2.

The y-intercept can also be derived from the graph as we can see that the line passes through the y- axis at (0, 2). This point can also be used to find the slope of the line too.

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