The slope (m) of the MB is: 1. The equation of the line of MB is: y = x.
How to Find the Equation of a Line?
We can express the equation of a line in slope-intercept form as, y = mx + b, where we have:
Slope = m = change in y / change in x
y-intercept = b.
Given the points, M(-4,-4) and B(-1,-1), to find the equation that the points lie on, first, find the slope of MB:
Slope (m) = (-4 -(-1))/(-4 -(-1))
Slope (m) = -3/-3
Slope (m) = 1
Substitute (x, y) = (-1, -1) and m = 1 into y = mx + b to find b
-1 = 1(-1) + b
-1 = -1 + b
-1 + 1 = b
b = 0
Substitute m = 1 and b = 0 into y = mx + b
y = 1(x) + 0
y = x.
Thus, the slope (m) of the MB is: 1. The equation of the line of MB is: y = x.
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