The equation represents the line that passes through the points (–3, 7) and (9, –1) will be A) y = - 2/3 x + 5.
What is the slope of a line which passes through points ( p,q) and (x,y)?
Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
The slope = (7 + 1)/(-3 - 9)
= 8 / -12
= -2/3
The equation of a line
[tex]y = mx + b\\7 = -2/3(-3) + b\\7 = 2 + b\\b = 5[/tex]
y = -2/3x + 5
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