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arijade1391
22.07.2020 •
Mathematics
The slope-intercept form of the equation of a line that passes through point (–3, 8) is y =- 2 /3x +8 . What is the point-slope form of the equation for this line? y – 3 = –2/3 (x + 8) y + 3 = -2/3 (x - 8) y + 8 = - 2/3 (x - 3) y - 8 = -2/3 (x + 3 )
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Ответ:
y - 8 = -
(x + 3)
Step-by-step explanation:
y = -
x + 8 ← is in slope- intercept form with slope m = - ![\frac{2}{3}](/tpl/images/0711/2884/d1391.png)
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = -
and (a, b) = (- 3, 8), thus
y - 8 = -
(x - (- 3)), that is
y - 8 = -
(x + 3)
Ответ: