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zhannawk [14.2K]
3 years ago
8

A line passes through the points (–6, 4) and (–2, 2). What is the equation of the line?

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
7 0

answer: y = -1/2x + 1

work:

let's use slope intercept form, or y = mx + b to represent the equation. <em>(m = slope, b = y-intercept)</em>

first, let's find the slope, or m. to do this, subtract the y values over the x values.

4 - 2 / - 6 - - 2  <em>(next: subtract the values)</em>

2 / - 4 <em>(next: simplify)</em>

1 / -2 <em>(next: write as a fraction)</em>

-1/2

so, the slope is -1/2. let's place this into the equation.

y = -1/2x + b.

okay, so to find b, or the y intercept, plug a value for x and y into the equation and solve.

4 = -1/2(-6) + b  <em>(next: multiply)</em>

4 = 3 + b <em>(next: subtract 3 from both sides)</em>

1 = b

so, let's place that into our equation:

y = -1/2x + 1 , this is your complete equation.

<em>hope this helps and have a great day!</em>

irga5000 [103]3 years ago
6 0

I forgot how to find the y intercept but the slope is -2/4

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