What is the point-slope form of a line with slope (-1, 2)?
mler
that contains the point
O A. y+2 = } (x-1)
O B. y- 2 = (x-1)
O C. y-2 = } (x+1)
O D. y+2 = (x+1)

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Ответ:

kieraweems2034

10.05.2021

Mathematics

Find slope of AB where A = (-1,-3) and B = (5,2):

$\text {Slope = } \dfrac{Y_2-Y_1}{X_2-X_1}$

$\text {Slope = } \dfrac{2+3}{5+1} = \dfrac{5}{6}$

Write equation with the slope found:

y = mx + b

$y = \dfrac{5}{6} x + b$

Find y-intercept:

$y = \dfrac{5}{6} x + b$

$2 = \dfrac{5}{6} (5) + b$

$2 = \dfrac{25}{6} + b$

$b = 2 - \dfrac{25}{6}$

$b = -\dfrac{13}{6}$

Form the equation:

$y = \dfrac{5}{6} x - \dfrac{13}{6}$

$\boxed {\boxed {\bf \text { Line AB : }y = \dfrac{5}{6} x - \dfrac{13}{6}}}$

Find Slope of Line MN where MN is parallel to AB:

$\text {Slope of MN = Slope of AB = } \dfrac{5}{6}$

Write equation with the slope found:

y = mx + b

$y = \dfrac{5}{6} x + b$

Find y-intercept given that the line passed through (6, -2):

$y = \dfrac{5}{6} x + b$

$-2 = \dfrac{5}{6} (6) + b$

-2 =5 + b

$
\boxed {\boxed {\bf \text { Line MN } : y = \dfrac{5}{6} x -7 }}$

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What is the point-slope form of a line with slope (-1, 2)? mler that contains the point O A. y+2 = } (x-1) O B. y- 2 = (x-1) O C. y-2 = } (x+1) O D. y+2 = (x+1)