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kcnawlay170
10.10.2019 •
Mathematics
What is an equation of the line that passes through the points (−8,2) and (−4,−3)?
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Ответ:
y = -
x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To find m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 8, 2) and (x₂, y₂ ) = (- 4, - 3)
m =
= - ![\frac{5}{4}](/tpl/images/0306/9802/a82b7.png)
y = -
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (- 4, - 3), then
- 3 = 5 + c ⇒ c = - 3 - 5 = - 8
y = -
x - 8 ← equation of line
Ответ: