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vekshin1
3 years ago
11

Write the equation in slope-intercept form in each line based on the information give

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0

Answer:

y= 6x -8

Step-by-step explanation:

<u>Slope-intercept form: </u>

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

\boxed{gradient =  \frac{y1 - y2}{x1- x2} }

Gradient

=  \frac{4 - ( - 2)}{2 - 1}

= 6

y= 6x +c

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

When x= 1, y= -2,

-2= 6(1) +c

c= -2 -6 <em>(</em><em>-6</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

c= -8

Thus, the equation of the line is y= 6x -8.

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Complete the equation of the line through (-9,-9) and (-6,0)
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For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

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We substitute one of the points and find b:

0 = 3 (-6) + b\\0 = -18 + b\\b = 18

Finally, the equation is:

y = 3x + 18

Answer:

y = 3x + 18

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