How do you plot (-3, 2 ), (-2, 1), (1, -2)?

Question

How do you plot (-3, 2 ), (-2, 1), (1, -2)?

1 Answer

Impact of this question

2582 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-08-01T20:08:12

These three points are colinear, lying on the line:

$y = - x - 1$ $y=-x-1$

Explanation:

You can calculate the slope $m$ $m$ of a line through any pair of points $(x_{1}, y_{1})$ $(x_1, y_1)$ and $(x_{2}, y_{2})$ $(x_2, y_2)$ using the formula:

$m = (Delta y)/(Delta x) = (y_2 - y_1) / (x_2 - x_1)$

So the slope of a line through $(-3, 2)$ and $(-2, 1)$ is:

$(1 - 2)/(-2 - (-3)) = -1/1 = -1$

The slope of a line through $(-2, 1)$ and $(1, -2)$ is:

$(-2 - 1) / (1 - (-2)) = (-3)/3 = -1$

So these three points are colinear with slope $-1$ .

Then since the line passes through $(1, -2)$ , we know:

$y+2 = -1(x-1) = -x+1$

Subtract $2$ from both sides to get:

$y = -x-1$

graph{(y+x+1)((x+3)^2+(y-2)^2-0.02)((x+2)^2+(y-1)^2-0.02)((x-1)^2+(y+2)^2-0.02) = 0 [-10.96, 9.04, -4.96, 5.04]}

Science

Math

Humanities

... and beyond

How do you plot (-3, 2 ), (-2, 1), (1, -2)?

1 Answer

Explanation:

Related questions

Impact of this question