Mathematics: Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9 Find the slope of the line 2x−3y=9. Use a forward slash (i.e. / ) for all fractions (e.g. 1/2 for 12). m= What would the parallel slope be? m= Use the slope to find the y-intercept of the parallel line. b=

Find the equation of the line passing through

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randlemccray1907

29.01.2022

Mathematics

Step-by-step explanation:

2x - 3y = 9

-3y = -2x + 9

$y=\frac{-2}{-3}x + \frac{9}{-3}\\\\y=\frac{2}{3}x-3\\$

Parallel lines have same slope.So,

Slope m = 2/3

(4 , -1)

Equation: y - y1 = m(x - x1)

$y-[-1]=\frac{2}{3}(x - 4)\\\\y+1=\frac{2}{3}*x - \frac{2}{3}*4\\\\y+1=\frac{2}{3}x-\frac{8}{3}\\\\y=\frac{2}{3}x-\frac{8}{3}-1\\\\y=\frac{2}{3}x-\frac{8}{3}-\frac{3}{3}\\\\y=\frac{2}{3}x-\frac{11}{3}$

b = -11/3

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