Find the blueprint of the band which passes through the credibility A(-2, 0) and B(1, 6) and accompaniment the acclivity and y-intercept.

Since we are accustomed 2 credibility that already lie on the line, application the blueprint as before, we charge to account the acclivity first.

[{m_{AB}} = frac{{{y_2} – {y_1}}}{{{x_2} – {x_1}}} = frac{{6 – 0}}{{1 – ( – 2)}} = frac{6}{3} = frac{2}{1} = 2]

Now we can use the blueprint back m = 2, a = 1 and b = 6 (You can use any of the 2 credibility accustomed in the question).

[y – b = m(x – a)]

[y – 6 = 2(x – 1)]

[y – 6 = 2x – 2]

[y = 2x 4]

Therefore the acclivity equals 2 and y-intercept equals (0, 4).

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