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blagie [28]
2 years ago
14

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

Mathematics
1 answer:
PtichkaEL [24]2 years ago
8 0

Answer:

Consider points (0, -5) and (-6, -1)

» General equation of a line:

{ \tt{y = mx + c}}

  • m is slope
  • c is y-intercept

<u> </u><u>S</u><u>l</u><u>o</u><u>p</u><u>e</u><u> </u><u>(</u><u>m</u><u>)</u><u>:</u>

{ \tt{m =  \frac{ - 1 - ( - 5)}{ - 6 - 0} }} \\  \\ { \tt{m =  \frac{4}{ - 6} }} \\  \\ { \tt{m =  -  \frac{2}{3} }}

<u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u> </u><u>(</u><u>c</u><u>)</u><u>:</u>

{ \tt{y = mx + c}}

consider point (0, -5)

{ \tt{ - 5 = c}} \\ { \tt{c =  - 5}}

Equation:

{ \boxed{ \tt{y =  -  \frac{2}{3} x - 5}}}

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