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Q: Write an equation in standard form for a line passing through A(–2, 3) and B(3, 4). (1 point)
A: Given 2 points example. Find the equation of the line thru the points (2,1) and (3,5) - - - - - - - - - - - This is a 2 step process. [ First find the slope of the line thru the points. slope, m = diffy/diffx m = (5-1)/(3-2) m = 4 - - - - - Now use y = mx + b with either point to find b, the y-intercept. y = mx + b 5 = 4*3 + b b = -7 - - - - y = mx + b y = 4x - 7 is the answer. - - - - - - -
- - - - - Another approach using determinants: |x y 1| |2 1 1| = 0 |3 5 1| - - - - x(1-5) - y(2-3) + 1(10-3) = 0 -4x + y + 7 = 0 y = 4x - 7 ]
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