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How do you find the slope-intercept form of two given points containing fraction coordinates?
Wiki User
∙ 12y ago
To find the slope-intercept form y = mx + b of a line given any 2 non-coinciding points on the same coordinate graph, we need to find the line's slope m and its y-intercept b.
To find the slope, subtract one point's y-coordinate from the other point's y-coordinate. Then subtract that same first point's x-coordinate from that second point's x-coordinate.
Divide the second difference from the first difference to have your slope.
Now, you have m in y = mx + b. Substitute one point's x- and y-coordinates into that equation with the slope, and solve for b.
The slope-intercept form of the line is written by the formula y = mx + b.
For example, let's say you're given the 2 points, A(1/2, 3/4) and B(1/3, 1/4).
3/4 - 1/4 = 2/4 = 1/2
1/2 - 1/3 = 1/6
(1/2)/(1/6) = 3
So m = 3.
y = mx + b
3/4 = 3(1/2) + b
3/4 - 3/2 = 3/2 - 3/2 + b
-3/4 = b
Since b = -3/4, the slope-intercept form of this problem is y = 3x - 3/4.
Wiki User
∙ 12y ago
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