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enyata [817]
3 years ago
11

A line intersects the points (3,-4) and

Mathematics
1 answer:
MrRa [10]3 years ago
5 0

Answer:

y = - 3x + 5

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁  )

with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (1, 2)

m = \frac{2+4}{1-3} = \frac{6}{-2} = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2), then

2 = - 3 + c ⇒ c = 2 + 3 = 5

y = - 3x + 5 ← equation of line

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\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
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&({{ 2}}\quad ,&{{ 2}})
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\\\\\\
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