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Which is an equation in slope-intercept form for the line passing through (5, 1) and (–4, 7)?
A. y = 2/3x + 13/3
B. y = -2/3x + 13/3
C. y = -2/3x - 13/3
D. y = 2/3x - 13/3
2 Answers
- MichaelLv 75 years ago
Slope intercept form is
y = mx + b
Where m is the slope and b is the y-intercept
Slope of points
m = rise/run
m = (y₂ - y₁) / (x₂ - x₁)
m = (7 - 1) / ( -4 - 5)
m = 6/-9
m = -2/3
Therefor either B or C
Looking at the given points
both y values are positive
while one x value is negative and one is positive
Therefor the y-intercept of a line through the points must be positive.
Which leaves only
B. y = -2/3x + 13/3 <–––––