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autumnrose02
10.11.2019 •
Mathematics
Acoordinate plane with a line passing through the points (negative 4, negative 5) and (1, negative 1).
write an equation in standard form of the line that is graphed. then find the x- and y-intercepts.
the equation of the line in standard form is .
the x-intercept is .
the y-intercept is .
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Ответ:
4x - 5y - 9 = 0
Step-by-step explanation:
The equation of a straight line passing through the points (-4,-5) and (1,-1) is given by![\frac{y - (-5)}{-5-(-1)} =\frac{x-(-4)}{-4-1}](/tpl/images/0367/6912/9f045.png)
⇒![\frac{y+5}{-4} =\frac{x+4}{-5}](/tpl/images/0367/6912/f684e.png)
⇒ 5y + 25 = 4x + 16
⇒ 4x - 5y - 9 = 0 ....(1) (Answer)
Now, this above equation can be represented as
Therefore, the x-intercept is
(Answer)
And the y-intercept is
. (Answer)
Ответ: