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Sagot :
Answer:
[tex]y = -2x - 13[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of x when y = 0).
Parallel lines:
If two lines are parallel, they have the same slope.
y = −2x − 5.
This line has slope [tex]m = -2[/tex], which is the same as the line we want to find, as they are parallel. So
[tex]y = -2x + b[/tex]
(−4, −5)
This means that when [tex]x = -4, y = -5[/tex]. We use this to find b. So
[tex]y = -2x + b[/tex]
[tex]-5 = -2(-4) + b[/tex]
[tex]b = -5 - 8 = -13[/tex]
So
[tex]y = -2x - 13[/tex]
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