(y - yo) = m.(x - xo)
Put both points:
(2 - (-4)) = m.(-2 - 1)
2 + 4 = m.(-3)
6 = -3m
m = 6/-3
m = -2
So -2 is the slope of this line
Now we have:
(y - yo) = -2.(x - xo)
Just put one point now.
y - (-4) = -2.(x - 1)
y + 4 = -2x + 2
y = -2x + 2 - 4
y = -2x - 2
(y = -2x - 2) ,is the equation of the line that goes through (-2, 2) and (1, -4).
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given data;
(x₁,y₁)=(-2, 2)
(x₂,y₂)=(1, -4)
The equation of the line passes through two-point is found as;
(y₂ - y₁) = m(x₂ - x₁)
Substitute the values;
⇒(y₂ - y₁) = m(x₂ - x₁)
⇒(2 - (-4)) = m(-2 - 1)
⇒2 + 4 = m.(-3)
⇒6 = -3m
⇒m = 6/-3
⇒m = -2
Substitute the value of the slope in the standard equation;
(y - yo) = -2.(x - xo)
Put(x₁,y₁)
⇒y - (-4) = -2.(x - 1)
⇒y + 4 = -2x + 2
⇒y = -2x + 2 - 4
⇒y = -2x - 2
Hence,the equation of the line that passes through (-2, 2) and (1, -4) will be,y = -2x - 2
To learn more about the linear equation refer to:
https://brainly.com/question/11897796
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