The slope of the line is -1, the equation in the form of point slope is (y - 4) = -1(x - (-2)), and equation of line is y = -x + 6.
What is a straight line?
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
A line passes through the points (6, –2) and (–2, 4).
Slope:
[tex]\rm m =\dfrac{4+2}{-2-6}[/tex]
m = -1
Equation of the line:
(y - 4) = -1(x - (-2))
y - 4 = -x + 2
y = -x + 6
Thus, the slope of the line is -1, the equation in the form of point slope is (y - 4) = -1(x - (-2)), and equation of line is y = -x + 6.
Learn more about the straight line here:
brainly.com/question/3493733
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