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zalisa [80]
3 years ago
14

Line AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b,

then m = – and b = .
Mathematics
1 answer:
inn [45]3 years ago
8 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points A(-6, 6) and B(12, 3). Substitute:

m=\dfrac{3-6}{12-(-6)}=\dfrac{-3}{18}=-\dfrac{3:3}{18:3}=-\dfrac{1}{6}

Therefore we have y=-\dfrac{1}{6}x+b.

Put the coordinates of the point B to the equation:

3=-\dfrac{1}{6}(12)+b

3=-2+b          <em>add 2 to both sides</em>

5=b\to b=5

Answer:

m=-\dfrac{1}{6}\\\\b=5

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